Question

9. The perimeter of a rectangle is 48cm. Its breadth is 10cm. The length of rectangle is​

Answer 1

Answer:

perimeter of rectangle =2(l+b)

so,.

perimeter of rectangle =48cm

breadth =10cm

therefore 48cm =2(l+10)

48 ÷2=(l+10)

24 = (l+10)

24-10 = l

14 = l

therefore length of rectangle =14cm

I hope these will help you

Answer 2

AnswEr-:

• $\underline{\boxed{\star{\sf{\blue{  Length \:of\:Rectangle \:is\: =  14cm.}}}}}$

Explanation-:

• $\mathrm { Given-:}$

• The perimeter of a rectangle is 48cm.
• Its breadth is 10cm.

• $\mathrm { To\: Find-:}$

• The length of rectangle.

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

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

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

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

• By doing this we can get the Length 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 48cm.
• Its breadth is 10cm
• The Length of Rectangle = ??

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

• $\longrightarrow {\mathrm { 2 ( 10 + Length) = 48cm}}$

• $\longrightarrow {\mathrm { 10 + Length = \dfrac{48}{2}}}$

• $\longrightarrow {\mathrm { 10 + Length = \dfrac{\cancel {48}}{\cancel {2}}}}$

• $\longrightarrow {\mathrm { 10 + Length = 24}}$

• $\longrightarrow {\mathrm { Length = 24 - 10}}$

• $\longrightarrow {\mathrm { Length = 14cm }}$

Therefore,

• $\underline{\boxed{\mathrm {\dag{Length= 14cm.}}}}$

Hence ,

• $\underline{\boxed{\star{\sf{\blue{  Length \:of\:Rectangle \:is\: =  14cm.}}}}}$

___________________________________________________________

$\huge {\mathrm { ♡Verification-:}}$

As , We know that ,

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

• The perimeter of a rectangle is 48cm.
• Its breadth is 10cm
• The Length of Rectangle = 14 cm.

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

• $\longrightarrow {\mathrm { 2 ( 10 + 14) = 48cm}}$

• $\longrightarrow {\mathrm { 2 ( 24) = 48cm}}$

• $\longrightarrow {\mathrm { 48 cm= 48cm}}$

Therefore,

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

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

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