Question 9 of 20intermediate🔧 ApplyNumerical3 marks

Find the area of a rectangle of sides 3343\frac{3}{4} ft and 9359\frac{3}{5} ft.

Correct Answer

Given: Sides = 3343\frac{3}{4} ft and 9359\frac{3}{5} ft

Step 1: Convert mixed fractions: 334=1543\frac{3}{4} = \frac{15}{4} ft and 935=4859\frac{3}{5} = \frac{48}{5} ft

Step 2: Area = 154×485\frac{15}{4} \times \frac{48}{5}

Step 3: Simplify: 15×484×5=72020=36\frac{15 \times 48}{4 \times 5} = \frac{720}{20} = 36 sq ft

Answer: The area of the rectangle is 36 square feet.

Exercise: Figure it Out (Section 3) | Q: 3 | (Page Page 12)
For More Understanding

Explanation

The chapter explains that the area of a rectangle with fractional sides equals the product of its sides. Convert mixed fractions to improper fractions: 334=1543\frac{3}{4} = \frac{15}{4} and 935=4859\frac{3}{5} = \frac{48}{5}. Area = 154×485=72020=36\frac{15}{4} \times \frac{48}{5} = \frac{720}{20} = 36 sq ft.

Solution Steps

  1. Step 1: Convert mixed fractions: 334=1543\frac{3}{4} = \frac{15}{4} ft and 935=4859\frac{3}{5} = \frac{48}{5} ft

  2. Step 2: Area = 154×485\frac{15}{4} \times \frac{48}{5}

  3. Step 3: Simplify: 15×484×5=72020=36\frac{15 \times 48}{4 \times 5} = \frac{720}{20} = 36 sq ft

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