Question

6. The ratio of length and breadth of a rectangle is 5: 4. If the length is 25 m, the breadth is
(1) 15 m
(2) 20 m
(3) 10 m
(4) 12 m​

Answer 1

Answer:

(2)20

Step-by-step explanation:

5:4

length=25

breadth=?

dividing length by 5 we get 5 and dividing 20 by 5 we get 4

the answer is 5:4

Answer 2

ANSWER :

(2) 20 m

• ❖ If the ratio of length and breadth of a rectangle is 5: 4 and the length is 25 m; then the breadth is 20 m.

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SOLUTION :

❒ Given :-

• Ratio of length and breadth of the rectangle = 5 : 4

• Length of the rectangle = 25 m

❒ To find :-

• Breadth of the rectangle = ?

❒ Method 1 :-

We have,

• Ratio of Length and Breadth = 5 : 4

• Length = 25 m

Suppose,

• Length = 5x m

• Breadth = 4x m

According to question,

• ❖ Length = 25 m

➨ 5x = 25

➨ x = $\sf{\dfrac{25}{5}}$

∴ x = 5

Now,

• ★ Breadth = 4x m

➨ Breadth = ( 4 × 5 ) m

∴ Breadth = 20 m

• Hence, Breadth of the rectangle = 20 m

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❒ Method 2 :-

We have,

• Ratio of Length and Breadth = 5 : 4

• Length = 25 m

According to question,

$\bigstar \: \: \sf{\dfrac{Length}{Breadth} = \dfrac{5}{4} } \\ \\ \sf{ \implies \: \dfrac{25}{Breadth} = \dfrac{5}{4}} \: \: \: \: \: \: \: \: \: \\ \\ \: \: \: \: \sf{ \implies \: 5 \times Breadth = 4 \times 25} \\ \\\sf{ \implies \: 5 \times Breadth = 100} \\ \\ \sf{ \implies \: Breadth = \dfrac{100}{5}} \: \: \: \: \\ \\ \sf{ \therefore \: \underline{ \: Breadth = 20 \: }}$

• Hence, Breadth of the rectangle = 20 m