Question

37. The area of a square is 225 sq cm which is equal to the area
of a re-tangle. The length of the rectangle is 16 cm more
thin the breadth of the rectangle. What is the respective
Trio between the side of the square and the breadth of the
#ctangle ?
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Answer 1

Answer:

15/9

Step-by-step explanation:

Area of a square = 225 = (side)²

∴ side of square = √225 = 15

Now l = b + 16

Area of a rectangle = 225 = l x b

∴ 225 = l x b = (b + 16)b = b² +16b

∴ b² +16b - 225 = 0

Factorizing it, we get

(b+25)(b-9) = 0

Either b = -25 or b = 9

As breadth cannot be negative, we get b = 9

∴ l = 9 + 16 = 25

∴ Ratio between the side of the square and the breadth of the

Rectangle = 15/9