# The length of a rectangular deck is 5 feet longer than its width,x. The area of the deck is 310 square feet. Which equation can be used to determine the width of the deck

0 = x^{2 }+ 5x - 310.

0 = 2x^{2 }- 310.

0 = x^{2 }- 305.

0 = x^{2 }- 5x - 310

**Solution:**

Given, the length of a __rectangular__ deck is 5 feet longer than its width x.

The __area__ of the deck is 310 square feet.

We have to find the equation of the width of the deck.

We know, __area of rectangle__ = length × width

Here, width = x

Given, length = 5 + width

Length = 5 + x

Now, 310 = x(5 + x)

310 = x(5) + x(x)

310 = 5x + x²

x² + 5x - 310 = 0

Therefore, the required equation is x² + 5x - 310 = 0.

## The length of a rectangular deck is 5 feet longer than its width,x. The area of the deck is 310 square feet. Which equation can be used to determine the width of the deck

**Summary:**

The length of a rectangular deck is 5 feet longer than its width,x. The area of the deck is 310 square feet. The equation x² + 5x - 310 = 0 can be used to determine the width of the deck.

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