An 82 cm long and 75 cm wide rectangle is enclosed by a strip outside it that is 4 cm wide. Find the area of the strip?
Answer: 1320 cm²
Explanation
To find the area of the strip:
1. Calculate the area of the larger rectangle (including the strip):
New length = 82 + 2_4 = 90 cm
New width = 75 + 2_4 = 83 cm
Area of larger rectangle = 90 * 83 = 7470 cm²
2. Calculate the area of the original rectangle:
Area = 82 * 75 = 6150 cm²
3. Find the area of the strip:
Area of strip = Area of larger rectangle - Area of original rectangle
= 7470 - 6150
= 1320 cm²
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