Question

The length of a rectangle is 5cm mare than it's breadth of the perimeter of the rectangle is 40 cm find its dimensions
step by step please help​

Answer 1

Answer:

length = 12.5cm   ;  breadth = 7.5 cm

Step-by-step explanation:

Let the breadth of the rectangle be 'x'.

∴ Length = 5 cm more than breadth

               = 5 cm more than x

                = x + 5

Given, perimeter of the rectangle is 40 cm

 ⇒ perimeter = 2(length + breadth)

 ⇒  40 = 2(x+5 + x)

 ⇒ 40 = 2(2x + 5)

 ⇒ 40 = 4x + 10

 ⇒ 40 - 10 = 4x

 ⇒ 30 = 4x

 ⇒ 30/4 = x

 ⇒ 7.5 = x

Length of the rectangle is x + 5 = 7.5 + 5 = 12.5 cm

Breadth = x = 7.5 cm

Answer 2

$\large\underline{\underline{\maltese{\pmb{\sf{\red{ \: Given :-}}}}}}$

• ➬ Length of a rectangle is 5cm more than it's breadth.
• ➬ Perimeter is 40cm .

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\large\underline{\underline{\maltese{\pmb{\sf{\red{ \: To \: Find :-}}}}}}$

• ➬ Find the dimensions (i.e, Length and breadth) .

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\large\underline{\underline{\maltese{\pmb{\sf{\red{ \: Solution:-}}}}}}$

❒ We know that :

$\large{\blue{\bigstar{\underline{\boxed{\pink{\sf{Perimeter = 2(Length + Breadth)}}}}}}}$

➢Here :

• ➳ Perimeter = 40cm
• ➳ Length = x + 5
• ➳ Breadth = x

❒ Now the Dimensions :

$\large{:\longmapsto\sf{Perimeter = 2(L + B)}}$

$\large{:\longmapsto\sf{ \: \: \: \: 40 = 2(x + 5 + x)}}$

$\large{:\longmapsto\sf{ \: \: \: \: 40 = 2(2x + 5 )}}$

$\large{:\longmapsto\sf{ \: \: \: \: 40 = (4x + 10) }}$

$\large{:\longmapsto\sf{ \: \: \: \: 40 - 10= 4x }}$

$\large{:\longmapsto\sf{ \: \: \: \: 30= 4x }}$

$\large{:\longmapsto\sf{ \: \: \: \: \cancel \frac{30}{4} = x }}$

${\large\red\dashrightarrow{\orange{ \underline{\boxed{\sf{X = 7.5}}}}}}$

❒ Hence :

${\large{\green{\leadsto{\sf{Length = x + 5 = 7.5 + 5 = 12.5 \: cm}}}}}$

${\large{\green{\leadsto{\sf{Breadth = x = 7.5 \: cm}}}}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

${\large{\blue{\bf{❤∣∣ItzNobita50∣∣❤}}}}$