Algebra Find Length and Width of Rectangle with Area Given

If the area of a rectangle is expressed as x⁴ — 9y², then the product of the length and the width of the rectangle could be expressed as

• (x — 3y)(x + 3y)

• (x² — 3y)(x² + 3y)

• (x² — 3y)(x² — 3y)

• (x⁴ + y)(x — 9y)

The perimeter of a rectangular wooden deck is 90 feet. The deck’s length, l, is 5 feet less than 4 times its width, w. Which system of linear equations can be used to determine the dimensions, in feet, of the wooden deck?

• 2l + 2w = 90

  l = 5 - 4w

• 2l + 2w = 90

  l = 4w - 5

• 2l + 2w = 90

  l = 5w - 4

• 2l + 2w = 90

  l = 4 - 5w

Angelo has a rectangular garden at home with an area of (𝑥²+4𝑥+3) 𝑚². If the length is (𝑥+3) m, what is the width of the garden?

• x+2

• x-1

• x+1

• 3x-1

The area of a rectangle is 54x⁹y⁸ square yards. If the length of the rectangle is 6x³y⁴ yards, then what is the width?

• 9x³y²

• 48x⁶y⁴

• 9x⁶y⁴

• 60x⁹y⁸

The area of a rectangle is   (x² + 17x+42) ft². If its width is (x + 3) ft. What is its length?

• (x + 17) ft

• (x + 14) ft

• (x - 14) ft

• (x - 17) ft

The area of a rectangle is 54x⁹y⁸ square yards. If the length of the rectangle is 6x³y⁴, which expression represents the width of the rectangle in yards?

• 9x³y²

• 48x⁶y⁴

• 9x⁶y⁴

• 60x¹²y¹²

A rectangle has an area of 121-x^2 and length of 11-x. The Width is

• 11+x

• 11-x

• 11x

• -11x

A rectangle has an area of x²-25 square meters and a length of x+5. What is the width?

• x-5

• x+5

• 5

• -5

Write the formula of area of a rectangle and substitute the given.

Area = (length)(width)

𝑥²+4𝑥+3 = (𝑥+3) (_______)

Find the width of the garden

• x-1

• x+1

• 2x+1

• x+2

The basketball court of Barangay Tambler, is converted into a distribution area for relief goods due to Covid-19 pandemic. The area is 40 𝑚² and the length is 3 meters longer than the width. Find the dimensions.

• L=6, width=3

• L=8, width=5

• L=10, width=7

• L=9, width=6