Answer:
Length: 18 yd, Width: 5.5 yd
Step-by-step explanation:
w - width
2w + 7 - length
99 yd² - area of a rectangle
The formula of an area of a rectangle:
A = lw
l - length
w - width
Substiute:
w(2w + 7) = 99 use the distributive property
2w² + 7w = 99 subtract 99 from both sides
2w² + 7w - 99 = 0
2w² + 18x - 11x - 99 = 0
2w(w + 9) - 11(x + 9) = 0
(w + 9)(2w - 11) = 0 ⇔ w + 9 = 0 or 2w - 11 = 0
w + 9 = 0 subtract 9 from both sides
w = -9 < 0 !!!
2w - 11 = 0 add 11 to both sides
2w = 11 divide both sides by 2
w = 5.5 yd
2w + 7 = 2(5.5) + 7 = 11 + 7 = 18 yd
