the length of a rectangle is two feet less than three times the width . if the area is 65 ft² ,find the dimensions
Answers
Given : the length of a rectangle is two feet less than three times the width. area is 65 ft²
To Find : the dimensions of rectangle
Solution:
Width of Rectangle = x feet
length of a rectangle = 3x - 2 feet
area = Length x width
=> (3x - 2) x = 65
=> 3x² - 2x = 65
=> 3x² - 2x - 65 = 0
=> 3x² - 15x +13x- 65 = 0
=> 3x(x - 5) + 13(x - 5) = 0
=> (x - 5)(3x + 13) = 0
=> x = 5 as x can not be negative
Width of Rectangle = 5 feet
length of a rectangle = 3(5) - 2 = 13 feet
Dimensions of rectangle are 5 & 13 feet
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