The perimeter of a rectangle is 48 cm and its length is 6 cm longer than its width. What is the area of the rectangle?
Answer and explanation
Correct answer: C. 135 cm^2
- Step 1: Let width be w. Length l = w + 6.
- Step 2: Perimeter P = 2(l + w) = 2(2w + 6) = 4w + 12 = 48.
- Step 3: Solve for w: 4w = 36 => w = 9 cm. Then l = 9 + 6 = 15 cm.
- Step 4: Calculate area: Area = l w = 15 9 = 135 cm^2.
Answer
135 cm^2.
Why not the others: Option 144 cm^2 squares 12 cm. Option 120 cm^2 uses dimensions 10 by 12 (perimeter 44). Option 150 cm^2 uses 10 by 15 (difference 5).
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