Question

the length of rectangular hall is 5 meters more than its breadth. if the perimeter of the hall is 74 meters, find its length and breadth.

Answer 1

let The breadth of the rectangular Hall be cm.
therefore,the length of the rectangular Hall be (x+15)m
perimeter given=74m
according to question,
2[x+(×+5)]=74
2 (2××+5)=74
2×5=37
2×=32
×=16

so, the breadth of the rectangular Hall is =16cm
and the length of the rectangular Hall is=21cm

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Answer 2

let x be the breadth of the rectangle

so,

length of rectangle = x + 5

and, given that, perimeter of rectangular hall is 74 meters.

then,

perimeter of rectangular hall = 2 × ( length + breadth )

=> 74 = 2 × (x +(x + 5))

=> 74 = 2 × 2x + 5

=> $\frac{74}{2}$ = 2x+ 5

=> 37 = 2x + 5

=> 2x = 37 - 5

=> x = $\frac{32}{2}$

=> x = 16 .....answer!

thus, breadth = 16 m

and, height = x + 5 = 16 + 5 = 21 m