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The length of a rectangle is 4 times its width . If the area is 100 square meter,what is the length please explain by steps

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[HeY Mate]

Answer:

=> Question:

  • The length of a RECTANGLE is 4 times its width . If the area is 100 square meter,what is the length.

Let The Length of rectangle= l

And Breadth of rectangle = b

=> GIVEN:

  • Length of rectangle = 4(breadth) = 4b.
  • Area of rectangle = 100m^2.

=> Solution:

We know that, area of rectangle is= (length)(breadth).

l \times b = 100m {}^{2} \\ 4b \times b = 100...........(l = 4b) \\ 4b {}^{2} = 100 \\ b = \frac{100}{4} \\ b {}^{2} = 25 \\ b = \sqrt{25} \\ b = 5m \\ \\

Then, breadth of rectangle is 5m.

And, length will be

l = 4b \\ l = 4(5)m \\ l = 20m

Hence, Length of rectangle is 20m.

I Hope It Helps You✌️


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