Question

The perimeterof a rectangular sheet is 100cmif the length id 35cm find the breadth.Also find the area

Answer 1

perimeter of rectangular sheet = 2(length+breadth)
100 = 2(35+b).
100/2 = 35+b.
50 = 35+b.
b = 50-35.
breadth = 15.

Area = length×breadth.
=35×15
=525

Answer 2

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\red{Given :-}}}}}$

• $\textsf{Perimeter of sheet = 100 cm}$

• $\textsf{Length of sheet = 35 cm}$

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\orange{To \ Find :-}}}}}$

• $\sf{Area \ \& \ Breadth \ of \ rectangular \ sheet}$

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\blue{Solution :-}}}}}$

• $\textsf{Let the breadth be 'x'}$

$\bigstar\:\:\rm{Perimeter = {\boxed{\sf{2(L + B)}}}}$

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

$\:\:\::\implies\:\:\sf{100 = 70 + 2x}$

$\:\:\::\implies\:\:\sf{100 - 70 = 2x}$

$\:\:\::\implies\:\:\sf{30 = 2x}$

$\:\:\::\implies\:\:\sf{x = \dfrac{30}{2} }$

$\:\:\::\implies\:\:{\boxed{\mathfrak{\pink{x = 15}}}}$

$\bigstar\:\:\rm{Area = {\boxed{\sf{Length \times Breadth}}}}$

$\:\:\::\implies\:\:\sf{Area = 35 \times 15}$

$\:\:\::\implies\:\:{\boxed{\mathfrak{\pink{Area=525cm }}}}$