Question

A square-shaped canvas painting was enlarged by adding a 4-centimeter wide decorative frame to the length and width of the canvas. If the area of the framed painting is 625 square centimeters, what is the side length of the bare canvas?

Answer 1

17 centimeters

Explanation:

Answer 2

The bare canvas is of 17 cm length.

SOLUTION:

Given, a square-shaped canvas painting was enlarged by adding a 4-centimeter wide decorative frame to the length and width of the canvas.

The area of the framed painting is 625
`cm^2`,

Let, the length of the bare paintings be x.

Then, after adding the frame,

length becomes x + 4 + 4 = x + 8. [we added 4 two times, because frame adds on both sides of painting.]

Now, we are given that, area of the framed painting is 625
`cm^2`

Area = 625

`Length^2` = 625

`(x + 8)^2`=
`25^2`

x + 8 = 25

x = 25 – 8 = 17

Hence, the bare canvas is of 17 cm length.