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2 years ago

The area of a rectangle is 135 square feet. The width is 6 feet less than the length. Find the dimensions of the rectangle

Mathematics

1 answer:

drek231 [11]2 years ago

7 0

The length is 15 inches and width is 9 inches

Step-by-step explanation:

Let

l be the length

and

w be the width

w = l-6

The area of rectangle is 135 ft^2

The formula for area is:

$Area=l*w\\135=l*(l-6)\\135=l^2-6l\\l^2-6l-135=0\\l^2+9l-15l-135=0\\l(l+9)-15(l+9)=0\\(l+9)(l-15)=0\\l+9 = 0 => l=-9\\l-15 = 0 => l=15\\$

As the length cannot be negative, so we will use the value of length 15

If length 15,

w=l-6

w=15-6

w=9

So,

The length is 15 inches and width is 9 inches

Keywords: Area of rectangle, Quadratic equation

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