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Math Asked by a SnapAndSolve user · about 2 hours ago

The rectangles below have the same perimeter. What is the area of the brown rectangle?

The rectangles below have the same perimeter.
What is the area of the brown rectangle?

Answer

The perimeter of the orange rectangle is calculated as follows:
Perimeter = 2 * (length + width) = 2 * (9 cm + 8 cm) = 34 cm.

Since the brown rectangle has the same perimeter, its perimeter is also 34 cm.
Let the length of the brown rectangle be L cm.
Perimeter = 2 * (5 cm + L) = 34 cm
10 cm + 2L = 34 cm
2L = 24 cm
L = 12 cm.

The area of the brown rectangle is:
Area = length * width = 5 cm * 12 cm = 60 square centimeters.

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