ISEE Lower Level Quantitative : Quadrilaterals

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

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Example Questions

Example Question #58 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle? 

Screen shot 2015 11 10 at 1.52.51 pm 

 

Possible Answers:

Correct answer:

Explanation:

The formula to find area is . We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #59 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle? 

Screen shot 2015 11 10 at 1.52.22 pm 

 

Possible Answers:

Correct answer:

Explanation:

The formula to find area is . We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #60 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle? 

Screen shot 2015 11 10 at 1.52.04 pm 

 

Possible Answers:

Correct answer:

Explanation:

The formula to find area is . We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #351 : Quadrilaterals

What is the perimeter of a square if one side is 5?  

Possible Answers:

Correct answer:

Explanation:

All sides of a square are equal, so if one side is equal to 5, each of the sides is equal to 5. A square has 4 sides. We make the following equation for the perimeter.

Example Question #352 : Quadrilaterals

What is the perimeter of a rectangle that has a length of 10 and a width of 4?

Possible Answers:

Correct answer:

Explanation:

Rectangle 

This rectangle has two sides that are equal to 10, and two sides that are equal to 4. The perimeter is equal to .

The formula for the perimeter of a rectangle is , or .

Example Question #353 : Quadrilaterals

Let  represent the length of a rectangle. What is the perimeter when the width is  less than the length?

Possible Answers:

Correct answer:

Explanation:

The formula for finding the perimeter of a rectangle is , or  times the length plus  times the width. We get the same result just adding all the sides together. If the length is , then the width is . Plugging this information into the formula, we get . Expand this by multiplying  times  and  times to get . Then simplify by adding to get .

Example Question #354 : Quadrilaterals

If a rectangle has a length that is equal to 10 inches, and a width that is equal to one fifth of the length, then what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

If a rectangle has a length that is equal to 10 inches, and a width that is equal to one fifth of the length, then the width will equal 

The perimeter is equal to 

Example Question #121 : Rectangles

Daniel found the perimeter of the rectangle below to be 28 meters.Screenshot_2015-03-25_at_3.14.22_pm

What is the length of the missing side of the rectangle?

Possible Answers:

5 meters

8 meters

7 meters

6 meters

Correct answer:

6 meters

Explanation:

The perimeter of a rectangle can be found using the formulat 2w + 2l = P.  In other words, twice the width plus twice the length equals the perimeter.

 

Start by finding the length of the given sides.  In this case, 8+8 = 16 meters.

 

Subtract this value from the perimeter of the rectangle:  28 - 16 = 12.

 

The two remaining sides, each X meters long, must add up to 12 meters.  Because opposite sides in a rectangle are the same length, X = 6 meters.

Example Question #122 : Rectangles

Erica measured the sides of a rectangle and found the values below.

Screenshot_2015-03-25_at_3.14.33_pm

What is the perimeter of the rectangle?

Possible Answers:

26 meters

25 meters

28 meters

13 meters

24 meters

Correct answer:

26 meters

Explanation:

The perimeter of a rectangle can be found by adding up all of the sides of the figure.  We know that opposite sides of a rectangle have the same length, so the equation to add up all four sides should look like 5+5+8+8 = P.  The perimeter is 26 meters.

Example Question #1 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

What is the perimeter of the rectangle below? 

Screen shot 2015 09 29 at 8.31.53 am

Possible Answers:

Correct answer:

Explanation:

The formula for perimeter of a rectangle is 

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

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