The area of a rectangular wall of a barn is 180 square feet. Its length is 8 feet longer than the width. Find the length and wid
th of the wall of the barn.
The width is __ ft
2 answers:
The length is 18 and it's width is 10 because 10+8=18 and 18•10=180
<h2>
Answer with Step-by-step explanation:</h2>
The area of a rectangular wall of a barn is 180 square feet.
Its length is 8 feet longer than the width.
Let w be the width of wall of barn
then, Length of wall of barn=w+8
we know that area of rectangle=Length×width
so, (w+8)w=180
w²+8w=180
w²+8w-180=0
w²+18w-10w-180=0
w(w+18)-10(w+18)=0
(w-10)(w+18)=0
either w-10=0 or w+18=0
w=10 or w= -18
w= -18 not possible
so, w=10
w+8=18
So, Length of wall of barn= 18 feet
and Width of wall of barn= 10 feet
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