Question

The length of a rectangulox hall is 7m more than its breadth. If the pererimeter is 34m, find its length and breadth.​

Answer 1

Answer:

length = 12 m

breadth = 5 m

Step-by-step explanation:

breadth = x

length = x + 7 m

perimeter = 34 m

2 (l + b) = 34 m

2(x + 7 m + x) = 34 m

2(2x + 7 m) = 34 m

4x + 14 m = 34 m

4x = 20 m

x = 5 m

breadth = x = 5 m

length = x + 7 m = 12 m

Answer 2

Answer:

length =12

breadth=5

Step-by-step explanation:

$let \: breadth(b) \: = x \\ then \: length(l) \: = x + 7 \\ perimeter \: = 34 = 2(l + b) \\ 34 = 2((x + 7) + (x)) \\ 34 = 2(2x + 7) \\ 34 = 4x + 14 \\ 4x = 20 \\ x = \frac{20}{4} \\ x = 5$

$length \: = x + 7 = 5 + 7 = 12 \\ breadth = x = 5$