Question

the length of a rectangular plot is 7m more than its breadth. if its perimeter is 154m,what are the measurements of the plot

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Answer 1

$\huge{\bf{\underline{\boxed{\mathfrak{\green{Solution:-}}}}}}$

Let,

Breadth of the rectangular plot be x m

So, length of the rectangular plot will be (x+7) m

Now,

A/Q

$\tt2(l + b) = 154m$

$\implies\tt 2[(x + 7)+ x]= 154$

$\implies\tt 2x + 7 = \frac{154}{2}$

$\implies\tt 2x + 7 = 77$

$\implies\tt 2x = 77 - 7$

$\implies\tt x = \frac{70}{2}$

$\implies\tt x = 35$

So,

The breadth of the rectangular plot is 35m

And the length of the rectangular plot is (35+7)=42m

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$\huge{\bf{\boxed{\mathfrak{\red{Verification:-}}}}}$

L.H.S

$\tt 2(l + b)$

$\tt = 2(42 + 35)$

$\tt = 2 \times 77$

$\tt = 154 \: m$

=R.H.S

HENCE VERIFIED...

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Answer 2

Answer:

Let,

Breadth of the rectangular plot be x m

So, length of the rectangular plot will be (x+7) m

Now,

A/Q

\tt2(l + b) = 154m2(l+b)=154m

\implies\tt 2[(x + 7)+ x]= 154⟹2[(x+7)+x]=154

$$\begin{lgathered}\implies\tt 2x + 7 = \frac{154}{2} \\\end{lgathered}$$

$$\implies\tt 2x + 7 = 77$$

$$\implies\tt 2x = 77 - 7$$

$$\implies\tt x = \frac{70}{2}$$

$$\implies\tt x = 35$$

So,

The breadth of the rectangular plot is 35m

And the length of the rectangular plot is (35+7)=42m

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