Question

Karl is putting a frame around a rectangular photograph. The photograph is 14 inches long and 10 inches wide, and the frame is the same width all the way around. What will be the area of the framed photograph?

Answer 1

The area of the framed photograph = 1156 $inch^{2}$

Step-by-step explanation:

Given,

The length of photograph (l) = 14 inches and

The breadth of photograph (b) = 10 inches

To find, the area of the framed photograph = ?

We know that,

The area of the framed photograph = (l + 2b)(l + 2b)

= (14 + 2 × 10) (14 + 2 × 10) $inch^{2}$

= (14 + 20) (14 + 20) $inch^{2}$

= (34) (34) $inch^{2}$

= 1156 $inch^{2}$

∴ The area of the framed photograph = 1156 $inch^{2}$