Question

If the area of the rectangle is 105cm2
Its length is (4x – 5) cm and
breadth is (2x - 5) cm, Find the
perimeter.

Answer 1

Given:

Perimeter of rectangle =44cm

Length + breadth =44/2=22cm

Let us consider length be 'x Breadth be

′

22−x

′

So according to the question,

x(22−x)=105

22x−x

2

−105=0

x

2

−22x+105=0

let us factorize,

x

2

−15x−7x+105=0

x(x−15)−7(x−15)=0

(x−15)(x−7)=0

So

(x−15)=0 or (x−7)=0

x=15 or x=7

since length > breadth,

x=7 is not admissible.

∴ Length =15cm

Breadth =22−x=22−15=7cm

hope it's help

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