Question

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

Answer 1

[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✌️

Answer 2

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Question}}}}}}}}$

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

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Question}}}}}}}}$

let the width be x

let the length be 4x

Given :-

• area of Rectangle = 100 meter square
• length = 4x
• breadth = x

To find :-

• length = ????

solution:-

${\bold{\blue{\boxed{\bf{area\:of\:rect.= length\times breadth}}}}}$

x * 4x = 100

4x^2 = 100

x^2 = 100/4

x^2 = 25

x= √25

x= 5

breadth= x = 5cm

length = 4x = 4*5 = 20cm

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${\bold{\blue{\boxed{\bf{length= 20cm}}}}}$

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THANK YOU ❤