Question

One side of a rectangle exceed its other side by 2cm if it's area is 195cm determine the sides of the rectangle
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Answer 1

Answer:

Hope this will help you

Answer 2

Answer:

Question :-

One side of a rectangle exceed its other side by 2cm if it's area is 195cm² determine the sides of the rectangle.

Answer:-

• Length= 15 cm
• Breadth = 13 cm

Given:-

• length = x+2 cm
• Breadth =x cm
• Area = 195 cm²

To find:-

• sides of rectangle

Solution:-

$\boxed{ \large{area \: = length \times breadth}}$

$\implies \: (x + 2) \times x = 195 \\ \\ \implies \: {x}^{2} + 2x = 195 \\ \\ \implies \: {x}^{2} + 2x - 195 = 0$

• By splitting the middle term

$\implies \: {x}^{2} + 15x - 13x - 195 = 0 \\ \\ \implies \: x(x + 15) - 13(x + 15) = 0 \\ \\ \implies \: (x + 15)(x - 13) = 0$

Either

$\implies \: x + 15 = 0 \\ \\ \implies \: x = - 15$

Or

$\implies \: x - 13 = 0 \\ \\ \implies \: x = 13$

•Length and breadth can't be negative.

Hence,

• Length = 13 + 2 = 15 cm
• Breadth = 13 cm