Question

The lengths of the sides of a rectangle are in the ratio 5:6. If its perimeter is 242
meters, find the length and breadth of the rectangle.

Answer 1

Step-by-step explanation:

• Let the sides of the rectangle be 5x and 6x .
• Given that, perimeter of rectangle = 2(l+b)
• 242 = 2(5x+6x)
• 242 = 2(11x)
• 242 = 22x
• x = 242/22 = 11.
• Therefore, length = 5x = 5*11 = 55 m
• Breadth = 6x = 6*11 = 66 m
• So, area of rectangle = l*b = 55*66 =3630 m^2

Answer 2

Step-by-step explanation:

Question:-

If the length of the sides of a rectangle are in ratio of 5:6. If it's perimeter is 242m,find the length and breadth of the rectangle.

Answer:-

Given :-

• The given figure is a rectangle.

• Ratio of length and breadth is 5:6.

• Perimeter of the rectangle is 242m.

To find :-

Length and breadth of the rectangle

Process :-

Let the length of the rectangle be 5x and breadth be 6x.

As we know that:-

Perimeter = 2 ( L + B )

Inserting the value in the formula:-

$⇒Perimeter \: = 2(L + B)\\ \\ ⇒242 = 2 ( 5x +6x) \\ \\ ⇒242= 2×</strong><strong>1</strong><strong>1</strong><strong>x\\ \\ ⇒</strong><strong>2</strong><strong>2</strong><strong>x =242 \\ \\ ⇒x = \frac{242}{</strong><strong>2</strong><strong>2</strong><strong>} \\ \\ ⇒x = </strong><strong>1</strong><strong>1</strong><strong>$

Substituting the values:-

Length = 5x = 5 × 11 = 55m

Breadth = 6x = 6 × 11 = 66m

Area of rectangle:-

⇒Length × Breadth

⇒(55×66)m

⇒3630m² (Ans)

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★ More to know

Some more formulas:-

• Area of Rectangle = Length × Breadth

• Perimeter of Rectangle = 2 ( L + B )

$• \: Length \: of \: rectangle = \frac{Area}{Breadth} \\ \\ • \: Breadth \: of \: rectangle = \frac{Area}{Length}$

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Hope it helps you...

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