Question

the side of rectangle filed are ratio 9: 7 perimeter is 144 meter. find the side​

Answer 1

Answer:

The sides are 40.5 m and 31.5 m.

Step-by-step explanation:

The formula to compute the perimeter of a rectangle is, $P=2(l+b)$

Given that the ratio of length and breadth is 9 : 7 and perimeter is 144 m.

Then:

144 = 2 (9x + 7x)

72 = 16x

x = 4.5.

The sides are:

9x = 9 × 4.5 = 40.5 m

7x = 7 × 4.5 = 31.5 m

Thus, the sides are 40.5 m and 31.5 m.

Answer 2

$\underline\mathfrak{Given:-}$

• The adjacent side of a rectangle are in the ratio of 9 : 7.
• Perimeter of rectangle is 144.

$\underline\mathfrak{To \: \: Find:-}$

• Find the measures of each side ....?

$\underline\mathfrak{Solutions:-}$

• Let the length be 9x.
• Let the breadth be 7x
• Perimeter of the rectangle is 144.

$\: \: \: \: \: \: \: \therefore \: Perimeter \: \: of \: \: rectangle \: \: \leadsto \: \: {2} \: {(length \: + \: breadth)}$

$\: \: \: \: \: \: \: \leadsto \: \: {144} \: \: = \: \: {2} \: {({9x} \: + \: {7x})}$

$\: \: \: \: \: \: \: \leadsto \: \: {144} \: \: = \: \: {2} \: {({16x})}$

$\: \: \: \: \: \: \: \leadsto \: \: {144} \: \: = \: \: {32x}$

$\: \: \: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: \cancel{\frac{144}{32}}$

$\: \: \: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: {4.5} \: m.$

Now,

• Length = 9x

⟹ 9 × 4.5

⟹ 40.5 m

• Breadth = 7x

⟹ 7 × 4.5

⟹ 31.5 m

Hence, sides are 40.5 m, 31.5 m, 40.5 m and 31.5 m.

$\underline\mathfrak{Important \: \: formula:-}$

• Area of rectangle = l × b
• Perimeter of rectangle = 2(l + b)
• Diagonal of rectangle = √l² + b²
• Rectangle of the each side of angle is 90°

Where,

• A = Area of the rectangle
• L = Length of the rectangle
• B = Breadth of the rectangle