Question

A rectangle has a length that is 3 less than 2 times the width. If the area of this rectangle is 170, find the dimensions and the perimeter.

solve by process ​

Answer 1

Step-by-step explanation:

"L = 3w - 2.

Lw = 3w^2 -2w = 16.

3w^2 - 2w - 16 = 3w^2 - 8w + 6w - 16 = w(3w -8)+ 2(3w-8) = (w+2)(3w-8)=0

Discarding the negative value, w = 8/3, L = 6

Perimeter = 2(L +w) = (2)(6 + 8/3)=52/3"

Answer 2

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let the breadth=x

the length =x+15 given perimeter= 150

we know

Perimeter of rectangle = 2(1+b)

150 = 2(x+x+15)

75 = 2x +15

60 = 2x

30=x

therefore breadth = 30 cm length = 30 +15 = 45 cm

check

150 = 2( 45+30)

150 = 2(75)

150 = 150

LHS=RHS

hence prooved