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QThe perimeters of two squares are 80 cm and 64 cm, respectively. Determine the perimeter of a third square whose area equals the difference between the two squares' areas.

ID: #5334 Area 228 views

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#5334Q ID

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A 34 cm ✔ ✖
B 48 cm ✔ ✖
C 63 cm ✔ ✖
D 23 cm ✔ ✖

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Explanation


Side of first square = (80/4) = 20 cm;
Side of second square = (64/4)cm = 16 cm.
Area of third square = [(20)^2 - (16)^2] cm^2
= (400 - 256) cm^2 = 144 cm^2.
Side of third square = √144 cm = 12 cm.
Required perimeter = (12 x 4) cm = 48 cm.

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QThe perimeters of two squares are 80 cm and 64 cm, respectively. Determine the perimeter of a third square whose area equals the difference between the two squares' areas.

Choose the Best Option

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