SOLUTION: Tee-jay has a photo that measures 10cm by 15cm. He want to fix it to a mat, so that there is a border of uniform width around the photo. the mat and photo will have an area of 500c

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Tee-jay has a photo that measures 10cm by 15cm. He want to fix it to a mat, so that there is a border of uniform width around the photo. the mat and photo will have an area of 500c      Log On


   

Question 1006789: Tee-jay has a photo that measures 10cm by 15cm. He want to fix it to a mat, so that there is a border of uniform width around the photo. the mat and photo will have an area of 500cm2. What should the width of the mat be?
Steps and Answer?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Questions should be, what is the uniform border width, and what are dimensions of the mat?

Picture area, 10%2A15;
Total area picture and the mat border, %2810%2B2x%29%2815%2B2x%29 using x as the uniform border width surrounding picture;
GIVEN: Mat and photo(picture) have area 500. ASSUMPTION - this is the area of the uniform border from the mat AND the photograph, NOT the sum of both the mat and photo areas.

That "given", formulate equation highlight_green%28%2810%2B2x%29%2815%2B2x%29=500%29, and solve for x, and then evaluate the separate dimensions of the mounting mat.

--
Algebra steps should lead to 2x%5E2%2B25x-175=0 and the one sensible solution will be highlight%28x=5%29.