Question

A mirror of length 30 cm and width 25 cm is to be framed with a 4 cm wide frame. Find the area of the frame required. Also find the cost of framing at the rate of ₹ 25 per cm².​

Answer 1

★Given:-

• Length of mirror = 30cm
• Width of mirror = 25cm
• Mirror is to be framed with 4cm wide frame

★To find:-

• Area of frame
• Cost of framing at rate of ₹ 25 per cm²

★Solution:-

Given that the mirror is to be framed with 4cm wide frame.

So the frame is increased by 4cm on both sides.

Total length of frame=length of mirror+4+4

⇒length of mirror + 2(4)

⇒ 30 + 8 = 38 cm

Total breadth of frame=width of mirror+4+4

⇒width of mirror +2(4)

⇒  25 + 8 = 33 cm

Using the formula,

✦Area = length × breadth

Area of mirror:-

⇒ l × b

⇒ 30×25

⇒ 750cm²

Total area:-

⇒l×b

⇒33×38

⇒1254cm²

Area of frame used:-

⇒ Total area - area of mirror

⇒ 1254 - 750

⇒ 504cm²

Cost of framing:-

⇒25×(area of frame)

⇒25×504

⇒Rs.12600

Hence,

Area of frame is 504cm²

Cost of framing is Rs.12600

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