Question

The length of a rectangle is three times its breadth. If its perimeter is 80 m find : (i) its length and breadth.
(ii) its area

Answer 1

Answer:

$\sf \green {\therefore \: i) \: Length = 30 \: m, \: Breadth = 10 \: m}$

$\sf \green {ii) \: Area = 300 \: {m}^{2} }$

Step-by-step explanation:

Let the breadth be 'x'

$\sf2(3x + x) = 80$

i) 6x + 2x = 80

8x = 80

$\sf x = \frac{80}{8} = 10 \: m$

$\sf The \: length = 3x = 3 \times 10 = 30 \: m$

ii) Area of the rectangle = L × B

= 30 m × 10 m = 300 m²