The area of a square is equal to that
of a rectangle. The length of rectan-
gle is 5 cm more than the side of
square and width is 3 cm less than
the side of square. The perimeter of
the rectangle is
Answers
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Step-by-step explanation:
Answer:
34 cm
Step-by-step explanation:
let, the side of square = x cm
the area of the square = x² sq.cm
atq, the length of rectangle = (x + 5) cm
the width of rectangle = (x - 3) cm
atq, (x+5)*(x-3) = x²
or, x² + 5x - 3x - 15 = x²
or, 2x = 15
or, x = 15/2 = 7.5 cm
∴ the perimeter = 2[( 7.5 + 5) + (7.5 - 3)]
= 2 * [12.5 + 4.5] =34 cm