Math, asked by kunj4348, 9 months ago

The length of rectangle is 15 metres and its perimeter is 48 metres and breadth is

Answers

Answered by tusharraj77123
6

Answer:

\large\tt\color{red}\underline{\underline{Question:}}

The length of the rectangle is 15 meters and its perimeter is 48 meters . Find the breadth .

\large\tt\color{blue}\underline{\underline{Given:}}

Perimeter\:of\:the\:rectangle=48\:meters

Length\:of\:the\:rectangle=15\:meters

\large\tt\color{purple}\underline{\underline{To\:find:}}

Breadth\:of\:the\:rectangle=??

\large\tt\color{green}\underline{\underline{Taken:}}

Let\:the\:breadth\:be\:2x

2×(L+x)=48\:m

\large\tt\color{pink}\underline{\underline{Solution:}}

2×(15m+x)=48\:m

30m+2x=48\:m

(Done cross multiplication)

2x=48\:m-30\:m

2x=18\:m

x=18\:m/2

\therefore\boxed{x=9\:m\:is\:the\:breadth}

\large\tt\color{green}\underline{\underline{Verification:}}

See , formula to find perimeter of the rectangle is:

= 2×(L+B)

Now , let's find the answer :

2×(15m+9m)

2×24m

48m\:is\:the\:perimeter

So , the answer is also verified.

HOPE IT HELPS YOU

Answered by Bᴇʏᴏɴᴅᴇʀ
24

Question:-

The length of rectangle is 15 metres and its perimeter is 48 metres and breadth is...?

AnSwEr:-

Given:-

➣ Length = 15 metres

➣ Perimeter = 48 metres

To Find:-

➣ Breadth = ?

Formula Used:-

➣ Perimeter of Rectangle = 2×(L+B)

Soln:-

➣ Let the breadth be x

➣ 2×(L+ x) = 48m

➣ 2×(15m+x)=48m

➣ 30m+2x=48m

• Moving x on one side:-

➣ 2x=48-30m

➣ 2x=18m

➣ x = \frac{18}{2}

\therefore{ Therefore{\boxed{\purple{x=9m}}}}

➣ The breadth of the Rectangle is 9m.

__________________________________________________

Verification:-

➣ By putting the value of B(breadth) in the Perimeter formula we can verify the Answer.

• Perimeter of the rectangle = 2×(L+B)

➣ 48m = 2×(15m+9m)

➣ 48m = 2×24m

➣ 48m = 48m

➣48m is the perimeter

Hence, Verified ✅

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