Question

the perimeter of the rectangular window glass is 26 dm. if the area is 36 sq dm, what are the dimensions of the window glass?

Answer 1

The dimensions are 9x4. 9+4 adds up to 13, which is half of 26, or half of the perimeter, and 9x4 is equal to 36.

Answer 2

w = 4 and l = 9 or

l = 4 and w = 9

Explanation:

let l = length

let w = width

2l + 2w = 26

lw = 36

l = 36/w

2(36/w) + 2w = 26

72/w + 2w = 26

(72 + 2w²) ÷ w = 26

cross-multiply:

2w² + 72 = 26w

2w² - 26w + 72 = 0

factor:

2(w² - 13w + 36) = 0

2(w - 4)(w - 9) = 0

w = 4 and l = 9 or vice versa