Question

four 2 x 8 rectangles have a total area equal to that of a square perimeter
A) 8
B)16
C) 32
D) 64

Answer 1

Answer:

Option C. 32 units

Step-by-step explanation:

The question is

Find the perimeter of the square

step 1

Find the total area of the four rectangles

$A=4[(2)(8)]=64\ units^2$

step 2

Find the length side of the square

we know that

The area of the square is

$A=b^2$

where

b is the length side of the square

we know that

The value of the total area of the four rectangles is equal to the value of the area of the square

so

$64=b^2 \\b=8\ units$

step 3

Find the perimeter of the square

The perimeter of the square is

$P=4b$

we have

$b=8\ units$

substitute

$P=4(8)=32\ units$