Question

a square has a side - length of 20 units. suppose a rectangle exists whose area is equal to the square, and with a length of 16 units. what is the width, to the nearest integer unit, of the rectangle?
21
23
25
28
30
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Explanation:

Step1: Calculate square's area

The area formula for a square is $A = s^2$, where $s$ is the side - length. Given $s = 20$ units, so $A_{square}=20^2=400$ square units.

Step2: Calculate rectangle's width

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. We know $A_{rectangle}=A_{square} = 400$ square units and $l = 16$ units. Then $w=\frac{A}{l}=\frac{400}{16}=25$ units.

Answer:

C. 25