Question

the length of a rectangle is 75 cm. its petimeter is 200 cm. find its area.​

Answer 1

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$\boxed{\underline{\underline {\green{\bf Area = 1875cm^2}}}}$

Step-by-step explanation:

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• Length of a Rectangle = 75cm

• Perimeter of the Rectangle = 200 cm

$\huge{ \boxed{ \underline{ \underline{ \blue{ \bf{To \: Find}}}}}}$

• The area of the Rectangle.

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First inorder to find the area of the Rectangle whose length and its perimeter we have to find the breadth.. After finding the Breadth we will find the Area.

We know that Perimeter of A Rectangle :-

${ \boxed{ \boxed{ \blue { \bf{Perimeter = 2(Length + Breadth)}}}}}$

• Perimeter = 200

• Length = 75

• Breadth = B

Now substitute the value of perimeter and length in the equation

• Perimeter = 2(Length + Breadth)

• 200 = 2 ( 75 + B)

• 200 = 150 + 2B

• 2B = 200 - 150

• 2B = 50

• B = $\bf \frac{50}{2}$

• B = 25cm

$\bf\:\therefore Breadth = 25cm$

♤__________________♤

Now Let us Find the Area.

We know that Area of a Rectangle:-

$\boxed{\blue{\bf Area = Length \times Breadth}}$

$\boxed{\blue{\bf Area = 75 \times 25}}$

$\boxed{\underline{\underline {\blue{\bf Area = 1875cm^2}}}}$