Question

The area of a parallelogram and a square are the same. If the perimeter of the square is 64 m and the height of the
parallelogram is 8 m, find the length of the corresponding base of the parallelogram.
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Answer 1

Answer:

32m

Step-by-step explanation:

side of square = 64 ÷ 4 = 16

AREA OF SQUARE = 16 × 16 = 256

AREA OF SQUARE = AREA OF PARALLELOGRAM

AREA OF PARALLELOGRAM = 256

BASE × HEIGHT = 256

BASE = 256 ÷ 8

BASE = 32

Answer 2

Answer:

area of parallelogram = area of square ........(1)

perimeter of square = 4×side

64=4(side)

16m = a

put value of a in ....(1)

base×height=side×side

base×8=16×16

base=16×16/8

base=32m

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