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ISEE Lower Level Quantitative : Plane Geometry

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #622 : Geometry

What is the width of the rectangle if the perimeter is 16in and the length is 4in ?

Possible Answers:

6in

5in

4in

7in

3in

Correct answer:

4in

Explanation:

The formula for perimeter of a rectangle is P=2(l + w)

To solve for the width we can plug our known values into the equation.

16=2(4+w)

16=8+2w

Subtract from both sides

8=2w

Divide by both sides

4=w

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Example Question #582 : Geometry

What is the width of the rectangle if the perimeter is 10in and the length is 2in ?

Possible Answers:

4in

6in

5in

3in

7in

Correct answer:

3in

Explanation:

The formula for perimeter of a rectangle is P=2(l + w)

To solve for the width we can plug our known values into the equation.

10=2(2+w)

10=4+2w

Subtract from both sides

6=2w

Divide by both sides

3=w

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Example Question #1841 : Common Core Math: Grade 3

What is the width of the rectangle if the perimeter is 32in and the length is 9in ?

Possible Answers:

9in

8in

10in

11in

7in

Correct answer:

7in

Explanation:

The formula for perimeter of a rectangle is P=2(l + w)

To solve for the width we can plug our known values into the equation.

32=2(9+w)

32=18+2w

Subtract from both sides

14=2w

Divide by both sides

7=w

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Example Question #624 : Geometry

What is the width of the rectangle if the perimeter is 38in and the length is 10in ?

Possible Answers:

8in

9in

11in

10in

12in

Correct answer:

9in

Explanation:

The formula for perimeter of a rectangle is P=2(l + w)

To solve for the width we can plug our known values into the equation.

38=2(10+w)

38=20+2w

Subtract from both sides

18=2w

Divide by both sides

9=w

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Example Question #1842 : Common Core Math: Grade 3

What is the width of the rectangle if the perimeter is 26in and the length is 8in ?

Possible Answers:

9in

8in

5in

7in

6in

Correct answer:

5in

Explanation:

The formula for perimeter of a rectangle is P=2(l + w)

To solve for the width we can plug our known values into the equation.

26=2(8+w)

26=16+2w

Subtract from both sides

10=2w

Divide by both sides

5=w

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Example Question #391 : Plane Geometry

What is the area of a square if one side of the square is 6?

Possible Answers:

Correct answer:

Explanation:

If one side of a square is 6, then each of the four sides of the square are equal to 6. To find the area of a square, we multiply the length and the height together. The length is 6, and the height is 6, thus the equation we use is 6*6=36 .

Remember the formula for the area of a quadrilateral is length*width . For a square, one side is equal to both the length and the width.

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Example Question #392 : Plane Geometry

One side of a square is centimeters long. What is the area of the square?

Possible Answers:

$16\: cm^{2}$

$32\: cm^{2}$

$8\: cm^{2}$

$64\: cm^{2}$

Correct answer:

$16\: cm^{2}$

Explanation:

The formula for finding the area of a square is $area = base\times height$ , or, because this is a square, $area = side^{2}$ .

area = centimeters $\times 4$ centimeters, or $16\: cm^{2}$

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Example Question #3 : How To Find The Area Of A Square

A right triangle has a base of and a height of .

What is the area of the rectangle made by 2 of these triangles aligned along the hypotenuse?

Possible Answers:

Correct answer:

Explanation:

If one combines the 2 identical triangles, their base and height become the length and width of the rectangle.

Area of a rectangle is:

$length\times height$

In this case

$7\times 4=28$

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Example Question #393 : Plane Geometry

A square has an area of $16\ in^{2}$ . What is the length of one side?

Possible Answers:

$\dpi{100} 16\ inches$

$\dpi{100} 4\ inches$

$\dpi{100} 2\ inches$

$\dpi{100} 8\ inches$

Correct answer:

$\dpi{100} 4\ inches$

Explanation:

You can find the area of a square by multiplying two sides together. All of the sides of a square are equal. In this case, $\dpi{100} 4\times 4=16$ , so the length of all of the sides of the square is 4 inches.

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Example Question #4 : Squares

Michaela drew th square below.

Screenshot_2015-03-25_at_3.13.25_pm

What is the area of the square?

Possible Answers:

112 square centimeters

48 square centimeters

144 square centimeters

12 square centimeters

100 square centimeters

Correct answer:

144 square centimeters

Explanation:

The area of a square can be found by multiplying the length of a side times itself. The side length of the above square is 12 cm. By finding 12 x 12, we find that the area of the square is 144 cm. squared.

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : Plane Geometry

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #622 : Geometry

Example Question #582 : Geometry

Example Question #1841 : Common Core Math: Grade 3

Example Question #624 : Geometry

Example Question #1842 : Common Core Math: Grade 3

Example Question #391 : Plane Geometry

Example Question #392 : Plane Geometry

Example Question #3 : How To Find The Area Of A Square

Example Question #393 : Plane Geometry

Example Question #4 : Squares

All ISEE Lower Level Quantitative Resources

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