Question

Area of a Rectangle is 1200 m², if the length is 40 m find its breadth
(a) 30 m
(b) 40 m
(c) 12 m
(d) 24 m​

Answer 1

Answer:

(a)30 IS UR CORRECT ANSWER

Step-by-step explanation:

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Answer 2

Answer :

30m (Option a)

Given :

• Length $\leadsto$ 40m
• Area $\leadsto$ 1200 m²

To find :

• We have to find the Breadth of Rectangle

Solution :

In the given question we have to find the Breadth of the Rectangle as Length and Area are given So, to find it we will use the formula and after using it we will get the Breadth but we will also check whether our answer is correct or not.

Let's Solve!

${ \underline{\underline{ \mathfrak{ \green{Formula}}}}}$

$\: \: \: \: \: \: \: \: \: \boxed{\sf{\purple{Breadth_{\:(rectangle)} = \dfrac{Area}{Length}}}}$

Now, we will first find the Breadth of it

$\: : \implies \mathcal{L}ength \leadsto\sf{40m} \: \mathcal{A}rea\leadsto\sf{1200m^{2} } \\\\\\\ \: \: : \implies \dfrac{ 1200}{40} \: \div \dfrac{10}{10} \: \leadsto \: \dfrac{ 120}{4}\\\\\\\ \: \: : \implies\dfrac{ 120}{4} \: \div \dfrac{2}{2} \: \leadsto \: \dfrac{60}{2}\\\\\\\ \: \: \: : \implies\dfrac{60}{2} \: \div \dfrac{2}{2} \: \leadsto \: \dfrac{30}{1}\\\\\\ \: : \implies{ \underline{ \boxed{ \mathfrak{ \pink{30 \: m}}}}}$

Verification :

$\;\boxed{\sf{\pink{Area_{\:(rectangle)} = Length \times Breadth}}}$

$: \implies \: \sf30m \: \times 40m \\\\\ \: \: \: \: \: \: \: \: \: \: \: \: : \implies \: { \underline{ \boxed{ \mathfrak{ \pink{1200 \: m^{2} }}}}}$

•°• Hence, verified! that the Breadth of Rectangle is 30m $\sf\blue{(Option \ a)}$

Diagram :

[Note:- Kindly see the diagram in the attachment]