Question

A picture that measures 10 cm by 5 cm is framed with a uniform border that is the same on all sides of the picture. The area of the border is twice the area of the picture Determine the width of the border.

Answer 1

let the width of the border be x m
so the framed picture is 10+2x by 5 + 2x
area of the whole thing = (10+2x)(5 + 2x)
area of picture = 50 cm^2
area of border = (10+2x)(5 + 2x) - 50
It said
(10+2x)(5 + 2x) - 50 = 2(50)
simplify, arrange as a quadratic and solve for x
Hint: make sure to reject the negative value of x

Answer 2

What is 2(50) in the part of teh question?

Answer 3

why did you minus 50

Answer 4

Isn't the area of the whole thing made up of the area of the
picture + the area of the border ?

area of border + 50 = (10+2x)(5 + 2x)
subtract 50 from both sides
area of border = (10+2x)(5 + 2x) - 50

Answer 5

"twice the area of the picture" ----> 2 times 50 = 2(50) = 100

Answer 6

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