Algebra Find Length and Width of Rectangle with Area

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

Your Grade 8 Math teacher asks you to create a poster dedicated to all frontliners as modern time heroes in fighting against Covid-19 pandemic. She instructed you to be resourceful and creative where the length of the rectangular poster is 2 feet less than three times the width and with an area of 65 𝑖𝑛². What will be the dimensions of the the poster?

• L = 9; W = 5

• L = 12; W = 7

• L = 10; W = 5

• L = 13; W = 5

A rectangle with an area of (𝑥²+5𝑥+6) 𝑖𝑛²

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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, which expression represents the width of the rectangle in yards?

• 9x³y²

• 48x⁶y⁴

• 9x⁶y⁴

• 60x¹²y¹²

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

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 yards, then what is the width?

• 9x³y²

• 48x⁶y⁴

• 9x⁶y⁴

• 60x⁹y⁸

Ms. Gaines was cutting out some fabric for a friend. She cut a piece that was 6 inches wide and had an area of 36 square inches. What was the length of that piece?

• 5 square inches

• 42 square inches

• 6 square inches

• 84 square inches

King was given the area of a rectangular garden in his neighborhood. He was told to determine the width of the rectangle given the length of the rectangle is 6x³y⁴ yards. If the area is 54x⁹y⁸ square yards, write an expression that represents the width of the rectangle in yards? Show your work below.

Mathematical Equivalence

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