If a storm window has an area of 448 square inches, what are the dimensions if the window is 12 inches higher than it is wide (w

Question

Vaselesa [24]

3 years ago

5

If a storm window has an area of 448 square inches, what are the dimensions if the window is 12 inches higher than it is wide (w

x h)?

Mathematics

2 answers:

ch4aika [34] · Answer 1 · 2021-12-21T00:22:13+03:00

ch4aika [34]3 years ago

7 0

W * (w + 12) = 448
w^2 + 12w - 448 = 0
(w-16)(w+28) = 0
w - 16 = 0; w = 16
w + 28= 0; w = -28

dimension can not be negative so answer w = 16
h = w + 12 = 16 + 12 = 28

double check
16x28 = 448

answer
dimensions: 16 and 28

Sholpan [36] · Answer 2 · 2021-12-20T22:57:16+03:00

Sholpan [36]3 years ago

5 0

16*28=448
28 is 12 inches higher than 16 so it should work.