Question

Perimeter of a rectangular field is 100
m.If its length is 35 m, what will be its
area?
Answer:​

Answer 1

Answer:

525m

Step-by-step explanation:

p=2(l+b) , area=l×b

Answer 2

Diagram:

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 35 cm(length)}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 15 cm(Breadth)}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

Question:

Perimeter of a rectangular field is 100m. If its length is 35 m, what will be its area?

Given

• Perimeter of rectangle = 100m
• Length of rectangle = 35m

To find:

• Area

Let:

• Breadth of rectangle = x

Solution:

So to Area first we should know value of breadth of rectangle:

We know:

$\bigstar \boxed{ \boxed{ \rm \: perimeter \: of \: rectangle = 2(length + breadth)}}$

By using this formula we can find value of breadth.

$: \implies \sf perimeter \: of \: rectangle = 2(length + breadth)$

$: \implies \sf 100= 2(35+ x)$

$: \implies \sf \dfrac{100}{2} = (35+ x)$

$: \implies \sf \cancel \dfrac{100}{2} = (35+ x)$

$: \implies \sf 50 = (35+ x)$

$: \implies \sf x = 50 - 35$

$: \implies\underline{ \boxed{\sf{}x = 15 \: m}}$

Verification:

$: \implies \sf 100= 2(35+ x)$

put value of breadth in this equation

$: \implies \sf 100= 2(35+ 15)$

$: \implies \sf 100= 2(50)$

$: \implies \sf 100= 2 \times 50$

$: \implies \underline{ \boxed{\sf 100=100}}$

Now Let's find Area of rectangle

We know:

$\bigstar \boxed{ \boxed{ \rm \: area\: of \: rectangle = length \times breadth}}$

By using this formula we can find value of Area

$: \implies \sf \sf\: area\: of \: rectangle = length \times breadth$

$: \implies \sf \sf\: area\: of \: rectangle = 35\times 15$

$: \implies \underline{ \boxed{\sf\: area\: of \: rectangle = 525 \: {m}^{2} }}$

.°. Area of rectangle =525m²

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