Question

Find the Breadth of Rectangle whose perimeter is 90 cm and length is 15 cm .

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Answer 1

Answer:

Breadth = 30 cm

Step-by-step explanation:

Perimeter = 90 cm

Length = 15 cm

Let, breadth = x cm

Perimeter = 90

2 (length + breadth) = 90

2 (15 + x) = 90

15 + x = 45

x = 30

Hence, breadth = 30 cm

Answer 2

AnswEr-:

• $\underline{\boxed{\star{\sf{\blue{  Breadth \:of\:Rectangle \:is\: =  30cm.}}}}}$

Explanation-:

$\mathrm { Given-:}$

• The perimeter of a rectangle is 90cm.
• Its length is 10cm.

$\mathrm { To\: Find-:}$

• The breadth of rectangle.

$\dag{\mathrm { Solution \: of \: Question-:}}$

$\underbrace {\mathrm { Understanding \: the \: Concept \:-:}}$

• We have to find the breadth of Rectangle , when Perimeter and length is given.

• For this we have to Substitute the known or given value ( Perimeter and length) in the Formula for Perimeter of Rectangle.

• By doing this we can get the Breadth of Rectangle.

As , We know that,

• $\underline{\boxed{\star{\sf{\red{  Perimeter \:of\:Rectangle\:is\: = 2 ( Length+ Breadth) units.}}}}}$

Here,

• The perimeter of a rectangle is 90cm.
• Its length is 15cm
• The Breadth of Rectangle = ??

Now , By Putting known Values in Formula for Perimeter of Rectangle-:

• $\longrightarrow {\mathrm { 2 ( 15 + Breadth) = 90cm}}$

• $\longrightarrow {\mathrm { 15 + Breadth = \dfrac{90}{2}}}$

• $\longrightarrow {\mathrm { 15 + Breadth = \dfrac{\cancel {90}}{\cancel {2}}}}$

• $\longrightarrow {\mathrm { 15 + Breadth = 45}}$

• $\longrightarrow {\mathrm { Breadth = 45 - 15}}$

• $\longrightarrow {\mathrm { Breadth = 30cm }}$

Therefore,

• $\underline{\boxed{\mathrm {\dag{Breadth= 30cm.}}}}$

Hence ,

• $\underline{\boxed{\star{\sf{\blue{  Breadth \:of\:Rectangle \:is\: =  30cm.}}}}}$

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$\huge {\mathrm { ♡Verification-:}}$

As , We know that ,

• $\underline{\boxed{\star{\sf{\red{  Perimeter \:of\:Rectangle\:is\: = 2 ( Length+ Breadth) units.}}}}}$

Here,

• The perimeter of a rectangle is 90cm.
• Its breadth is 30cm
• The Length of Rectangle = 15 cm.

Now , By Putting known Values in Formula for Perimeter of Rectangle-:

• $\longrightarrow {\mathrm { 2 ( 30 + 15) = 90cm}}$

• $\longrightarrow {\mathrm { 2 ( 45) = 90cm}}$

• $\longrightarrow {\mathrm { 90 cm= 90cm}}$

Therefore,

• $\longrightarrow {\mathrm { LHS = RHS}}$

• $\longrightarrow {\mathrm { Hence\:Verified\:!}}$

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