The area of a rectangle is 66 ft2, and the length of the rectangle is 1 ft more than twice the width. Find the dimensions of the

Question

antiseptic1488 [7]

3 years ago

10

The area of a rectangle is 66 ft2, and the length of the rectangle is 1 ft more than twice the width. Find the dimensions of the

rectangle.

Mathematics

1 answer:

umka21 [38] · Answer 1 · 2021-12-24T19:27:22+03:00

umka21 [38]3 years ago

3 0

This is probably way overcomplicated but i cant remember how to do it
w = n
l = 2n+1
w*l = 66
n(2n+1) = 66
2n^2 + n =66
2n^2 + n - 66 = 0
using quadratic equation

n = 11/2

width = 11/2 = 5.5
length = 11 + 1 = 12