Question

Suppose a rectangular patio has an area of 24 *

ft? and its width is 5 less than its length. What
is its length, width, and perimeter? (Check 3
boxes)

Answer 1

Explanation:

width= length-5

area= length*width

area= length * (length-5)

area= l*(l-5)

area =
`l^(2)` -5l

`l^(2)`-5l= 24

`l^(2)`-5l-24=0

FACTORISE

(l+3)(l-8)

l= -3 or +8

Length is positive therefore, l= 8

width = l-5

width = 8-5=3

width = 3

perimeter = 2(l+b)

perimeter = 2(8+3)

perimeter = 22