Question

The diagram shows a window in the shape of a square. Each side of the measures 8 √5 centimeters, and the area of the square is 32x square centimeters. What is the value of x?

Answer 1

x = 10

Explanation:

recall that for a square with side length "L", the area of the square can be expressed as

Area = L x L

or

Area = L²

in this case we are given that Area, A = 32x

and that Side Length, L = 8√5

If we substitute these into the equation, we will get:

Area = L²

32x = (8√5)² (using the properticals of exponents, we can re-write the right side)

32x = (8)² · (√5)²

32x = 64 · 5

32x = 320 (divide both sides by 32)

x = 320 / 32

x = 10