Question

the length of a rectangle is 10cm and its perimeter is equal to that of a square of side 9cm. find the area of the rectangle. ​

Answer 1

Answer:

90 cm^2

Step-by-step explanation:

Perimeter = 9*4 = 36 cm

Since length is 10 cm, and opposite sides are equal, hence twice the breadth = 36 - 10*2 = 36 - 20 = 18

Hence breadth = 18/2 = 9 cm

Area = length x breadth

Area = 10 * 9 = 90 cm^2

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Answer 2

Answer:

Area of rectangle= 86cm²

Step-by-step explanation:

perimeter of square= 4× side

= 4× 9

= 36cm

perimeter of square= perimeter of rectangle

perimeter of rectangle= 2l+2b

36= 2×10 + 2b

36/2= 10+2b

18= 10+2b

2b= 18-10

2b= 17

b= 17/ 2= 8.5cm

Area of rectangle= l× b

= 10× 8.5

= 85cm²