Question

the length of rectangular field is 70 metres more than five times its breadth the perimeter of the field is 370 metres find the length and breadth and also find its area.​

Answer 1

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Hey Mate!!

• Let its breadth be x
• => Its length = 70 + 5x

Perimeter = 2(length + breadth)

=> 370 = 2(70 + 5x + x)

=> 370 = 2(70 + 6x)

=> 370 = 140 + 12x

=> 370 - 140 = 12x

=> 230 = 12x

=> x = 230 ÷ 12

=> x = 19.17 m

• Breadth = x = 19.17 m
• Length = 70 + 5x = 165.85 m

Area of rectangle = length × breadth

=> 19.17 × 165.85

=> 3179.35 (approx.)

Hope it helps...✌✌

Answer 2

Step-by-step explanation:

let the breadth of the rectangular field be = X m

length of the rectangular field = 5x+70

perimeter of rectangular field = 370 m

perimeter of rectangular field = 2(l+b)

370 = 2(X+5X+70)

370 = 2(6x+70)

370 = 12x+140

12x = 370-140

12x = 230

x = 230/12

x = 19.167

breadth = 19.167

length = 165.834

Area = 19.167 × 165.834

= 3178.540