Question

Priya walks around a rectangular playground once and covers 600 m. If the length of the
playground is 270m what is its
(i) breadth and (ii) Area?

Answer 1

Answer:

i- 330m

ii- 89100m^2

Step-by-step explanation:

i- b= perimeter-length

= 600-270m

= 330m

ii- area of rect.= l*b

=270*330^2

=89100m^2

Answer 2

$\Large{\underbrace{\underline{\sf{Understanding\;the\; Question}}}}$

Here in this question we have given a statement that Priya walks around a rectangular park once and she covered 600m. It means that circumference of rectangle is 600m. Now we can easily find the breadth and area of rectangle.

$\rule{300}{2}$

$\Large{\underline{\underline{\sf{GIVEN:}}}}$

⇒ Circumference of rectangle=600m

⇒ Length of rectangle=270m

$\rule{300}{2}$

$\Large{\underline{\underline{\sf{TO\; FIND:}}}}$

⇒ Breadth of rectangle

⇒ Area of rectangle

$\rule{300}{2}$

$\Large{\underline{\underline{\sf{SOLUTION:}}}}$

★Circumference of rectangle=2(Length+Breadth)

⇒ 600m=2(270+Breadth)

⇒ 600/2 m=270+Breadth

⇒ 300m=270+Breadth

⇒ 300-270m=Breadth

⇒ 30m=Breadth

∴ The breadth of rectangle is 30m

$\rule{300}{2}$

★ Area of rectangle= Length×breadth

⇒ 270m×30m

⇒ 8100m²

∴ Area of rectangle is 8100m²

$\rule{300}{2}$

$\Large{\underbrace{\underline{\sf{More\; formulae \; to\; know}}}}$

⇒ Area of square=Side²

⇒ Area of circle=πr²

⇒ Perimeter of square=4×Side

⇒ Circumference of circle=2πr

⇒ Area of triangle=½×Base×Height