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2 years ago

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.

Mathematics

1 answer:

solmaris [256]2 years ago

3 0

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.

<h3>What is the area of a rectangle?</h3>

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.

To know more about the area of the rectangle visit:

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Step-by-step explanation:

For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?

We are given the ratio

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