Question

the width of a rectangle is 4 times the length . if the perimeter of the rectangle is 30 inches , what is the length?

Answer 1

Answer:

let the length be x inch

then ATQ,

breadth =4x inch

Step-by-step explanation:

given perimeter(p) = 30 inches

p=2(l+b)

30÷2 = x+4x

15=5x

x=3

so the length of the rectangle is 3 inches

and breadth is 12 inches

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Answer 2

$\huge{\underline{\underline{\sf{★Answer★}}}}$

${\large{\sf{Length\: of\: rectangle \: is=> 3\: inch}}}$

$\large{\underline{\underline{\sf{\orange{★ Explanation ★}}}}}$

$\Large{\underline{\bf{\blue{Given -}}}}$

• Breadth (Width) of rectangle = 4× length
• Perimeter of rectangle = 30inch

$\Large{\underline{\bf{\blue{To\: FinD -}}}}$

• Length of rectangle

$\Large{\underline{\bf{\blue{Solution -}}}}$

Let,

• length of rectangle is x

• Breadth of rectangle = 4x

. We know that, -

${\underline{\sf{ Perimeter \:of\: rectangle\: = 2 ( l + b )}}}$

Where :-

• l = length of rectangle
• b = breadth of rectangle

So,

${\sf {Perimeter \:of\: rectangle = 2 ( l + b )}}$

${\sf {=> 30 inch = 2( x + 4x )}}$

${\sf{=> 30 inch = 2x + 8x}}$

${\sf{=> 30 inch = 10x}}$

${\sf{=> x = \frac{30}{10} }}$

${\sf{ => x = 3 inch}}$

Hence,

length of rectangle = 3 inch