Question

The length and width of a rectangle are in the ratio 5:2. If the perimeter is 70m, calculate the length of the rectangle

Answer 1

Answer:

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Step-by-step explanation:

so length of rectangle be x m and width be y m

so according to first scenario

x/y=5/2

ie 2x=5y

2x-5y=0 (1)

we know that

perimeter of rectangle =2 (length+width)

thus according to second condition

2(x+y)=70

ie x+y=35 (2)

multiplying (2) by 5

we get 5x+5y=175 (3)

adding (1) and (3) we get

5x+5y=175

2x-5y=0

ie 7x=175

hence x=25

thus length of rectangle is 25 m