A rectangular lawn has a length that is 3 yards greater than the width. The area of the lawn is 88 square yards. Write the polynomial equation for the area of the lawn. Use the variable xx to represent the width of the lawn?

1 Answer
sankarankalyanam
Nov 28, 2017

#x^2+3x-88=0#
Breadth = #x = 8# yards
Length = #x+3 = 11# yards

Explanation:

Let 'x' be the breadth of the rectangle. Then Length= x + 3

Area of rectangle = length * breadth.

#:. 88 = (x+3)*x#
#x^2 + 3x = 88#
#x^2 + 3x - 88 = 0#
#x^2+11x-8x-88=0#
#(x+11)(x-8) =0#
#x=-11, 8#
As breadth cannot have a negative value,
Breadth = 8 yards

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