Question

(b) Find the length and the breadth of a rectangle given that its perimeter is 960 cm and length
is 4 times its breadth.
​

Answer 1

LET ITS B=X

L=4X

PERIMETER=960

\ATQ

2(X+4X)=960

10X =960

X=96

B= 96

L=384

MARK ME BRAINLIEST

Answer 2

Given: The perimeter of given rectangle is 960 cm and length is 4 times it's breadth.

Need to find: Length and Breadth of the rectangle.

❒ Let the Breadth of the given rectangle is x cm.

Then,

Length of the rectangle is 4x cm.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀

$\qquad\boxed{\bf{\mid{\overline{\underline{\purple{\bigstar\: According \; to\;the \; Question \; \: :}}}}}\mid}$⠀

• Perimeter of the given rectangle is 960 cm.

$\underline{\bf{\dag} \:\mathfrak{As \: we \; know \; that\: :}}$⠀

⠀⠀⠀⠀⠀

$\star\;\boxed{\sf{\pink{Perimeter_{\: (rectangle)} = 2 \Big( Length + Breadth \Big)}}}$

⠀⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀⠀

$:\implies\sf 2 \Big( Length + Breadth \Big) = 960 \\\\\\:\implies\sf 2 \Big(4x + x \Big) = 960 \\\\\\:\implies\sf 2 \times 5x = 960 \\\\\\:\implies\sf 10x = 960 \\\\\\:\implies\sf x = \cancel\dfrac{960}{10} \\\\\\:\implies{\underline{\boxed{\frak{\purple{ x = 96}}}}}\;\bigstar$

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Hence,

⠀⠀⠀⠀⠀

• Length, (4x) = 4(96) = 384 cm

• Breadth, x = 96 cm

⠀⠀⠀⠀⠀

$\therefore{\underline{\sf{Hence, \: Length \; and \; Breadth \; of \; rectangle \; are \; \bf{384 \; cm \: and \: 96 \; cm}.}}}$