Question

Mani is painting rectangular canvas with length of 50 cm.He will need 160 of wood trim to frame the canvas.What is the width of the canvas?What is the area of the canvas?

Answer 1

Step-by-step explanation:

We have,

Mani is painting rectangular canvas with length of 50 cm, l = 50 cm

He need 160 cm of wood trim to frame the canvas. It means that the perimeter of the frame is 160 cm.

The perimeter of rectangle is given by :

$P=2l+2b$

b is width of the canvas

$b=\dfrac{P-2l}{2}\\\\b=\dfrac{160-2(50)}{2}\\\\b=30\ cm$

So, the width of the canvas is 30 cm.

Area of rectangular frame is given by :

$A=l\times b\\\\A=50\times 30\\\\A=1500\ cm^2$

So, the area of the canvas is $1500\ cm^2$.