Question

The length of a rectangular floor is 5m longer than its width. If the perimeter of the floor is 86m, find the dimensions of the floor.​

Answer 1

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( 25x 19m )

Answer 2

${ \huge{ \underline{ \rm{ \large{ \pink{Given:}}}}}}$

• Length of a rectangular floor is 5m longer than its width.
• Let take Breadth = x
• So, Length = 5 + x
• Perimeter = 86m

${ \huge{ \underline{ \rm{ \large{ \green{Find:}}}}}}$

• Dimensions of the floor?

${ \huge{ \underline{ \rm{ \large{ \red{Solution:}}}}}}$

• Perimeter of rectangle = 2(l + b)

$\implies{ \sf{86 = 2(5 + x + x)}}$

$\implies{ \sf{86 = 2(5 + 2x)}}$

$\implies{ \sf{86 = 10 + 4x}}$

$\implies{ \sf{4x = 86 - 10}}$

$\implies{ \sf{4x = 76}}$

$\implies{ \sf{x = \frac{76}{4} = 19 }}$

${ \implies{ \sf{So, \: x = 19}}}$

⇒ Length = 5 + x = 5 + 19 = 24m

⇒ Length = 24m

⇒ Breadth = 19m

Therefore,

• Dimensions of rectangular floor are 24×19 m