1.

The area of a rectangle is 65 1/4 m². If its breadth is 5 7/16 m, find its lengthPlease answer me​

Answer»

Answer:

12 m

Step-by-step EXPLANATION:

Step-by-step explanation:

Given : The area of a room = 65\dfrac{1}{4}\ m^265

4

1

m

2

Here, 65\dfrac{1}{4}65

4

1

can be WRITTEN as \dfrac{4(65)+1}{4}=\dfrac{261}{4}

4

4(65)+1

=

4

261

Breadth of room = 5\dfrac{7}{16}\ m=\dfrac{16(5)+7}{16}\ m=\dfrac{87}{16}\ m5

16

7

m=

16

16(5)+7

m=

16

87

m

Since , \text{Area= length x Breadth}Area= length x Breadth

\begin{gathered}\Rightarrow\ \dfrac{261}{4}=\text{length}\times\dfrac{87}{16}\\\\\Rightarrow\ \text{length}=\dfrac{261}{4}\times\dfrac{16}{87}=12\end{gathered}

⇒

4

261

=length×

16

87

⇒ length=

4

261

×

87

16

=12

Hence, length of room = 12 meters


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