Question

The length of a rectangle is 5 more than the width. The area is 126 square feet. Find the length and width of the rectangle.

Answer 1

The length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

The length of a rectangle is 5 more than the width. The area is 126 square feet.

We need to find the length and width of the rectangle.

What is the area of a rectangle?

The area of a rectangle is calculated by multiplying the rectangle's length by its width.

Let the width of the rectangle be x, then the length of the rectangle be x+5.

We know that the area of the rectangle = Length×Width

Now, the area of the rectangle = (x+5)×x=126 square feet.

⇒$x^{2}+5x-126=0$

⇒$x^{2}+14x-9x-126=0$

⇒$x(x+14)-9(x+14)=0$

⇒$x=-14, x=9$.

Since length cannot be a negative integer.

So, Width=9 feet and Length=9+5=14 feet.

Hence, the length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

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