Question

I mirror of length 20 cm and width 15 cm is to
be framed with a 2 cm wide frame. Find the area
of the frame required. Also, find the cost of
framing at the rate of 15 per cm?
​

Answer 1

⛦ Given :

• Length of mirror = 20cm
• Breadth of mirror = 15cm
• Width of the frame = 2cm

⛦ To find :

• The area of the frame.
• The cost of framing at the rate of 15cm.

⛦ Solution :

First finding the Area of the mirror.

★Area of mirror = length × breadth

Area (mirror) = 20 × 15

Area (mirror) = 300 cm²

___________

Now, Area of mirror including the frame.

So,

• Length of mirror including the frame : 20 + 4 = 24 cm.
• Breadth of mirror including the frame : 15 + 4 = 19 cm.

Area of mirror including the frame

= 24 × 19

= 456 cm²

Now,

•Area of frame=Area of mirror including the frame -Area of mirror

Area of frame = 456 - 300

Area of frame = 156 cm²

So,

Cost of framing at ₹15 per cm.

Cost of framing 156 cm² :

⟼ ₹(156 × 15)

⟼ ₹2340

Therefore,

1. Area of Frame required is 156 cm²
2. Cost of framing is ₹2340

Answer 2

Answer:

Area of the required frame= 66cm².

Cost of Framing= Rs990.

Step-by-step explanation:

Given,

Dimensions of mirror= 20cm and 15cm

So, area= (20×15)cm²= 300cm²

New Dimensions= [(20-2)cm and (15-2)cm]

Therefore, New area= (18×13)cm²= 234cm²

Now, Area of Frame=Area of full mirror-Area of new mirror formed

Area of Frame= (300-234)cm²= 66cm².

Therefore, Cost of framing= Rate of framing×Area

Cost= Rs15×66cm²= Rs990

So, the area of Frame is 234cm² and the cost of framing it is Rs990.

Hope you get this!!