Question

A=32x + 85 cm. Each side of the square measures 8√5 centimeters, and the area of the square is 32x square centimeters. What is the value of x?

a) 5
b) 10
c) 20
d) 40

Answer 1

To find the value of x, the side length of the square (8√5 cm) is squared to get the area (320 cm²), which is then set equal to 32x to solve for x, giving the value of x as 10.

Step-by-step explanation:

The problem states that each side of the square measures 8√5 centimeters, and the area of the square is 32x square centimeters. To find the value of x, we can use the formula for the area of a square, which is side length squared (A = s²). Since each side is 8√5 cm, squaring this gives us (8√5)² = 64×5 = 320 cm² for the area of the square.

Knowing that the area is also given as 32x cm², we can set up the equation 320 = 32x and solve for x.

320 = 32x
x = 320 / 32
x = 10

Therefore, the value of x is 10.