ISEE Lower Level Quantitative : Rectangles

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

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Example Questions

Example Question #401 : Plane Geometry

What is the area of the rectangle? 

Screen shot 2015 11 10 at 1.54.08 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 #56 : 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 1.53.36 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 #581 : Geometry

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 1.53.11 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 #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 #111 : Rectangles

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 #112 : Rectangles

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 #113 : Rectangles

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 

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