Question

7) The perimeter of a parallelogram is 150cm. One of its side is greater than the other by 25 cm. Find the length of all the sides of the parallelogram.

Answer 1

Answer:

One side is 25 cm and the other side is 50 cm.

Step-by-step explanation:

The perimeter of parallelogram = 150 cm

So let the one side of parallelogram be x cm.

Then according to the given condition , the other side is (x+25) cm

Perimeter of parallelogram = 2(a+b)

150 = 2( x+x+25)

150 = 2(2x+25)

One side is 25 cm and the other side is 50 cm.

Answer 2

$\huge\sf\pink{Answer}$

☞ AB = 25 cm

☞ BC = 50 cm

☞ CD = 25 cm

☞ AD = 50 cm

$\rule{110}1$

$\huge\sf\blue{Given}$

✭ The perimeter of a parallelogram is 150cm

✭ One of its sides is greater than the other by 25cm.

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

◈ Length of sides of the parallelogram?

$\rule{110}1$

$\huge\sf\purple{Steps}$

Let the one side of parallelogram be x cm and the another side be y cm

Given that,

$\sf{\twoheadrightarrow x = y + 25\qquad -eq(1)}$

We know that the formula for finding the perimeter of parallelogram is:-

$\underline{\boxed{\sf{Perimeter = 2(a+b)}}}$

$\bullet\underline{\textsf{\:As Per the Question}}$

Put the value of x from eq(1)

$\sf{\dashrightarrow 150 = 2(y + 25 + y ) }$

$\sf{\dashrightarrow 150 = 2(2y + 25) }$

$\sf{\dashrightarrow 150 = 4y + 50 }$

$\sf{\dashrightarrow 150-50 = 4y }$

$\sf{\dashrightarrow 100 = 4y }$

$\sf{\dashrightarrow \dfrac{100}{4} = y }$

$\sf{\red{\dashrightarrow 25 = y} }$

Put the value of 'y' in eq(1)

$\sf{\dashrightarrow x = 25 + 25 }$

$\sf{\orange{\dashrightarrow x = 50 }}$

≫ AB = (x-25) = (50-25) = 25 cm

≫ BC = x = 50 cm

≫ CD = (x-25) = (50-25) = 25 cm

≫ AD = x = 50 cm

$\rule{170}3$