# ISEE Upper Level Quantitative : How to find the area of a rectangle

## Example Questions

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### Example Question #281 : Plane Geometry

The perimeter of a rectangle is 210 inches. The width of the rectangle is 40% of its length. What is the area of the rectangle?      Explanation:

If the width of the rectangle is 40% of the length, then .

The perimeter of the rectangle is:    The perimeter is 210 inches, so we can solve for the length:    The length and width of the rectangle are 75 and 30 inches; the area is their product, or square inches.

### Example Question #282 : Plane Geometry is a positive integer.

Rectangle A has length and width ; Rectangle B has length and length . Which is the greater quantity?

(A) The area of Rectangle A

(B) The area of Rectangle B

It is impossible to determine which is greater from the information given

(A) is greater

(A) and (B) are equal

(B) is greater

(A) is greater

Explanation:

This might be easier to solve if you set .

Then the dimensions of Rectangle A are and . The area of Rectangle A is their product: The dimensions of Rectangle B are and .  The area of Rectangle B is their product:  regardless of the value of (or, subsequently, ), so Rectangle A has the greater area.

### Example Question #13 : How To Find The Area Of A Rectangle

In Rectangle  and . Give the area of this rectangle in terms of .      Explanation:

The area of a rectangle is the product of its length and its width, which here are and . Mulitply: 2 Next →

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