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jeka94
3 years ago
11

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

s. If the area of the framed painting is 625 square centimeters, what is the side length of the bare canvas?
Mathematics
2 answers:
stealth61 [152]3 years ago
5 0

Answer:

17 centimeters

Step-by-step explanation:

MrMuchimi3 years ago
4 0

<u>ANSWER:</u>

The bare canvas is of 17 cm length.

<u>SOLUTION:</u>

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.

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