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 = x² + 5x - 310.
0 = 2x² - 310.
0 = x² - 305.
0 = x² - 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.