Question

the perimeter of a rectangle is 200. If the length is 80 what is the breadth?​

Answer 1

$\large {\dag \; {\underline{\underline{\red{\pmb{\textbf{\textsf{ \; Solution :- }}}}}}}}$

perimeter of a rectangle =

$⟼ \sf \: 2(length + breadth)$

Perimeter of rectangle = 200

$⟼2(80 + x) = 200 \\ ⟼160 + 2x = 200 \\ ⟼2x = 200 - 160 \\ ⟼2x = 40 \\ ⟼x = \frac{40}{2} \\ x = 20$

The breadth of rectangle = 20 ..

To prove :-

$⟼2(80 + 20) \\ = 160 + 40 \\ ⟼200$

Hence , proved....

Answer 2

Answer:

∴ The breadth of a rectangle is $20$ units.

Step-by-step explanation:

In context with question asked,

• We have to find the breadth of the rectangle.
• It is given that, perimeter of a rectangle = $200$ units

         Length of a rectangle = $80$ units

• Rectangle has four sides. Its opposite sides are parallel to each other and they are equal in length.
• Perimeter of a rectangle is the sum of all sides of a rectangle.
• The formula for perimeter of a rectangle is given by,

     Perimeter of a rectangle = $2(l+b)$

                                ∴ $200=2(80\times b)$

                                ∴ $200=160+2b$

                                 ∴ $2b=200-160$

                                 ∴ $2b=40$

                                   ∴ $b=\frac{40}{2}$

                                   ∴ $b=20$ units

• ∴ The breadth of a rectangle is $20$ units.