Question

4 cm

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?

OA 17 centimeters

OB. 19 centimeters

Oc. 21 centimeters

OD 25 centimeters

Nex

Answer 1

I think the answer is A or D

Answer 2

Side of bare canvas = 17 cm

Explanation:

Let the original side of square shape canvas painting be x cm

Adding 4 cm wide decorative frame to each side of the canvas.

The area of of frames painting is 625 cm²

Please find the attachment for figure.

Frame added both sides. New side = (x + 4 + 4)

The new side of painting after added frame = (x + 8) cm

The shape of painting is square.

Area of square shape = side × side

Therefore,

`(x+8)(x+4)=625`

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

Taking square root both sides

`x+8=25`

`=x=25-8`

`x=17`

Hence, the side of the bare canvas is 17 cm