Question

the area of a rectangular plot is 83m2. find the length of the plot if its breadth is 9/4m​

Answer 1

${\tt {\red {\underline{\underline {\huge {Answer}}}}}}$

Let the length be x

Area of rectangle = length × breadth

➨83m^2 = x × 9/4

➨ 83 × 4/9 = x

➨x = 332/9

➨x = 36 8/9

hope it helps you.....

Answer 2

$\huge\mathfrak\blue{Answer:}$

Given:

• We have been given that area of a Rectangular plot is 83 m²
• Breadth of plot is 9/4 m

To Find:

• We have to find the length of the given Rectangular Plot

Solution:

Let the Length of Plot = x meter

$\boxed{\sf{Breadth \: of \: Plot = \dfrac{9}{4} \: m }}$

$\large\underline{\mathfrak\red{According \: to \: the \: Question:}}$

$\implies \boxed{\sf{Area \: of \: Plot = 83 m^2} }$

We know that the plot is in a form of a rectangle Hence its Area will be Equal to the product of its Length and its Breadth

$\implies \sf{Length \times Breadth = 83 m^2}$

$\implies \sf{Length \times \dfrac{9}{4} = 83}$

$\implies \sf{ x = \dfrac{83 \times 4}{9}}$

$\implies \boxed{\sf{ x = \dfrac{332}{9}}}$

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$\huge\underline{\sf{\red{A}\orange{n}\green{s}\pink{w}\blue{e}\purple{r}}}$

$\large\boxed{\sf{\purple{Length \: of \: Rectangle = \dfrac{332}{9} \: m}}}$

_______________________________

$\huge\mathtt\green{Verification:}$

☞ Area of given rectangular plot is 83 m²

$\mapsto \boxed{\sf{Area \: of \: Rectangle = \dfrac{332}{9} \times \dfrac{9}{4} }}$

$\mapsto \sf{ Area = \dfrac{2988}{36} }$

$\mapsto \sf{83 \: m^2}$

$\red{\large\underline{\underline{\sf{Hence \: Verified \: !!! }}}}$

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