A square and a rectangle have the same area. If the dimensions of the rectangle are 4 ft by 16 ft, how long is a side of the squ
are?
A 10 ft
B. 8 ft
C 32 ft
D. 6ft
E 20 ft
1 answer:
9514 1404 393
Answer:
B. 8 ft
Step-by-step explanation:
The area of the rectangle is ...
A = LW = (16 ft)(4 ft) = 64 ft²
The area of the square in terms of its side length is ...
A = s²
For the square to have the area of the rectangle, its side length must be ...
64 ft² = s²
s = √(64 ft²) = 8 ft
A side of the square is 8 feet long.
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