Question

answer the following:

3. The area of the rectangular park is 150 m. If the Ratio of the lengthand breadth of the park is 3:2. Find the length and breadth?

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Answer 1

✯ ᴀɴsᴡᴇʀ ✯

★ given →

☞︎︎︎ the area of rectangular park is 150m² and ratio of length and breadth is 3:2

★ to find →

☞︎︎︎ length and breadth of the rectangular park?

★ solution →

☞︎︎︎ we have ratio of length and breadth of the park is 3:2

Let length and breadth of the park is 3x and 2x respectively

and it is given in the question that, area of park is 150m²

we know that,

$\pink{\bold{area \: of \: rectangle = length \: \times breadth}}$

$➪ \: 3x \times 2x = 150 \\ \\ ➪ \: 6 {x}^{2} = 150 \: \: \: \: \: \: \: \: \: \\ \\ ➪ \: {x}^{2} = \frac{150}{6} \: \: \: \: \: \: \: \: \: \\ \\ ➪ \: {x}^{2} = 25 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\➪ \: x = \sqrt{25} \: \: \: \: \: \: \: \: \: \: \\ \\ ➪ \: x = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, common multiple of length and breadth is x = 5

then,

• length of the park = 3x = 3 × 5 = 15m
• breadth of the park = 2x = 2 × 5 = 10m

hence, length and breadth of the park is 15m and 10m respectively