Question

ratio of two adjoining sides of a parallelogram is 5:7 and its perimeter is 384cm. Find the length of its each side​

Answer 1

SOLUTION

GIVEN

• The ratio of two adjoining sides of a parallelogram is 5:7

• The perimeter is 384cm.

TO DETERMINE

The length of its each side

EVALUATION

Here it is given that ratio of two adjoining sides of a parallelogram is 5 : 7

Let 5x and 7x be the sides of the parallelogram

So by the given condition

$\sf{ \implies \: 2(5x + 7x) = 384}$

$\sf{ \implies \: 2 \times 12x= 384}$

$\sf{ \implies \: 24x= 384}$

$\sf{ \implies \: x= 16}$

First side = 5x = ( 5 × 16 ) = 80 cm

Second side = 7x = ( 7× 16 ) = 112 cm

FINAL ANSWER

The length of the sides are 80 cm and 112 cm

Consequently all sides are 80 cm, 112 cm, 80 cm, 112 cm

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. In an equilateral triangle, the ratio of the radii of incircle, circumcircle and excircle is

https://brainly.in/question/10164855

2. find the circumcentre of A(2,-5),B(6,8) C(2,8)

https://brainly.in/question/29572481

Answer 2

Given : ratio of two adjoining sides of a parallelogram is 5:7

perimeter is 384cm

To Find : Length of Each Side

Solution:

Parallelogram has opposites sides Equal

ratio of two adjoining sides of a parallelogram is 5:7

Let say sides are  5S  and 7S  cm

Opposites sides are also 5S and 7S

Perimeter = 5S + 7S + 5S + 7S  

= 24S  cm

Perimeter = 384 cm

24S = 384

=> S = 16

5S = 5(16) = 80 cm

7S = 7(16)  = 112  cm

Length of sides of Parallelogram are :  80 cm , 112 cm , 80 cm and 112 cm

Learn More:

In the adjoining figure two parallelogram ABCD and AEFB are ...

https://brainly.in/question/13596062

how to construct a parallelogram of sides 45 cm and 30 cm and one ...

https://brainly.in/question/7443442