A rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 24 square feet. find the

Question

aleksklad [387]

3 years ago

6

A rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 24 square feet. find the

length of the rectangle.

Mathematics

1 answer:

arlik [135] · Answer 1 · 2022-03-28T20:30:51+03:00

arlik [135]3 years ago

8 0

Area = Length x width
Assuming width = x, that makes length = x + 2
$24 = (x)(x + 2) \\ {x}^{2} + 2x = 24 \\ {x}^{2} + 2x - 24 = 0 \\ (x + 6)(x - 4) = 0 \\ x = - 6 \: or \: x = 4$
Since width can't be a negative number, so it's 4 feet.

Answer : Length is 6 feet.

Hope this helps. - M