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the length of a rectangular garden is 5 m longer than its width if its perimeter is 42 m, find its dimension find its area.​

Sagot :

Answer:

42=2 ( l + b)

42=2 ( 5+b+b)

42/2= 5+2b

21 = b + 2b

transpose...

2b=21 - 5

2b = 16

2    /  2

b= 8

Step-by-step explanation:

We know that the perimeter of rectangle is 2 (l + w) and let the width be 'b' and let length of rectangular floor be l.

So 42 = 2 ( l + b )

Copy and put 42 = 2 ( 5 + b + b)

Divide 42/2 = 5 + 2b (b+b = 2b and you notice without exponent because we're on addition so you can easily add it)

21= 5 + 2b ( you need to transpose so it will be)

2b = 21 - 5

2b = 16

so 2b/2 = 16/2 ( cancel 2/2 and divide 16/2 and the answer will be 8)

Therefore b=8