Question

A picture has 15cm. by 2.5cm. dimension . A 2.5 cm. broad frame is required to cover it. find the cost of the frame at rs. 1.50 per sq. cm.

Answer 1

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Answer 2

Answer: Total cost of frame is $168.75.

Step-by-step explanation:

Since we have given that

Length of a picture = 15 cm

Width of a picture = 2.5 cm

so, Area of a picture is given by

$A=Length\times Width\\\\A=15\times 2.5\\\\A=37.5\ cm^2$

As we have that frame  2.5 cm broad is required to cover it.

So, Length of outer part becomes

$15+2.5+2.5\\\\=20\ cm$

Width of outer part becomes

$2.5+2.5+2.5\\\\=7.5\ cm$

so, Area of outer part is given by

$20\times 7.5\\\\=150\ cm^2$

So, Area of frame =Area of outer part - Area of picture

$150-37.5\\\\=112.5\ cm^2$

Cost of the frame =$1.50 per sq. cm.

So, Total cost becomes

$112.5\times 1.50\\\\=\ 168.75$

Hence, Total cost of frame is $168.75.