Question

. The perimeter of a square is 8y – 12. The area of the square is 100 square units. What is the value of y?

Answer 1

Answer:

y = 6.5 units

Step-by-step explanation:

Let L be the length of sides of the square.

Given the following data;

Perimeter of square = 8y - 12

Area of square = 100 square units

To find the value of y;

Area of a square = L²

Substituting into the formula, we have;

100 = L²

L = √100

L = 10 units

Mathematically, the perimeter of a square is given by the formula;

Perimeter of a square = 4L

Substituting into the formula, we have;

8y - 12 = 4*10

8y - 12 = 40

8y = 40 + 12

8y = 52

y = 52/8

y = 6.5 units

Answer 2

Answer:

y=6.5

Step-by-step explanation:

Perimeter is 8y-12

Side=(Perimeter)/4=(8y-12)/4=2y-3

Area=(Side)^2

100=(2y-3)^2

2y-3=10

y=6.5