Question

A square concert stage in the center of a fairground has an area of 2 2 4 12 9 ft . X x ? ? The dimensions of the stage have the form cx ? d, where c and d are whole numbers. Find an expression for the perimeter of the stage. What is the perimeter when x ? 2 ft?

Answer 1

Answer: 4(cx+ d)

Perimeter when x=2ft=28ft

Explanation:

Perimeter of a square =4L

L and w are in the for c x+ d

Therefore, Perimeter= 4(cx+d)

P= 4cx + 4d

Area of square=4x^2+12x+9 ft^2

Using factorization method to solve the quadratic equation , you get

Area = (2x+3)(2x+3)

Therefore Length is (2x+3)

Perimeter of square if x=2ft

Perimeter of a square is 4L

Let L =2x+3

When x=2

L=2(2)+3

L=7ft

Perimeter=4(7)

Perimeter=28ft