Math test?

Question

The perimeter of a rectangle is 56 cmeter the area of a rectangle is 96 cm² find the dimension of the rectangle

Answer 1

The dimensions of the rectangle are: width = 4 cm and length = 24 cm

Check: 2*(4+24) = 56 cm

Check: 4*24 = 96 square cm

Answer 2

The perimeter of a rectangle is 56 cm. 

The area of the rectangle is 96 cm².

Find the dimensions of the rectangle.

l + w = 56

lw = 96

l ≈ 1.77025, w ≈ 54.2298

Answer 3

2l + 2w = 56

l * w = 96

2l + 2w = 56

l + w = 28

l = 28 - w

l * w = 96

(28 - w) * w = 96

(w - 28) * w = -96

w^2 - 28w = -96

w^2 - 2 * 14w + 14^2 = 14^2 - 96

(w - 14)^2 = 196 - 96

(w - 14)^2 = 100

w - 14 = -10 , 10

w = 4 , 24

4 cm by 24 cm