Question 14 of 21intermediate🔧 ApplyNumerical2 marks

Give the dimensions of a rectangle whose area is the sum of the areas of these two rectangles having measurements: 5 m × 10 m and 2 m × 7 m.

Correct Answer

Step 1: Area of first rectangle = 5×105 \times 10 = 50 sq m

Step 2: Area of second rectangle = 2×72 \times 7 = 14 sq m

Step 3: Total area = 50 + 14 = 64 sq m

Step 4: Find dimensions of rectangle with area 64 sq m.

Answer: Possible dimensions are 8 m × 8 m, 16 m × 4 m, 32 m × 2 m, or 64 m × 1 m. Any rectangle with area 64 sq m will work.

Exercise: Figure it Out (Section 6) | Q: 1 | (Page Page 21)
For More Understanding

Explanation

First find the areas of both given rectangles and add them. Then find dimensions of a rectangle with that total area.

Solution Steps

  1. Step 1: Area of first rectangle = 5×105 \times 10 = 50 sq m

  2. Step 2: Area of second rectangle = 2×72 \times 7 = 14 sq m

  3. Step 3: Total area = 50 + 14 = 64 sq m

  4. Step 4: Find dimensions of rectangle with area 64 sq m: 8 m × 8 m, or 16 m × 4 m, or 32 m × 2 m, or 64 m × 1 m

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