Question

a rectangular tabletop has its sides in the ratio 3:5 and its perimeter is 32 m. Find the length and breadth of tanletop.​

Answer 1

Answer:

Length= 10m

Breadth =6 m

Step-by-step explanation:

Length=5x

Breadth=3x

2(length +breadth) =perimeter

2 (5x+3x)=32

8x=16

x= 2

Therefore, length= 2×5=10m

Breadth = 3×2 =6 m

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Answer 2

$\huge {\mathtt {\purple {Given}}}$

• A rectangular tabletop has its sides in the ratio 3:5
• It's perimeter is 32 m

$\huge {\mathtt {\green {To\:Find}}}$

• The length and breadth of tabletop.

$\huge {\mathtt {\red{Solution}}}$

Let the common factor be "x".

Now ,

• Length = 5x
• Breadth = 3x

We know that ,

${\boxed {\boxed {\blue {\sf{p = 2(l+b)}}}}}$

So ,

$\sf 32 = 2(5x + 3x)$

$\sf 32 = 2(8x)$

$\sf 32 = 16x \implies x = \dfrac {32}{16} = 2$

$\huge {\mathtt {\orange {Answer}}}$

• length = 5x = 5×2 = 10m

• breadth = 3x = 3×2 = 6m

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