To calculate:The dimensions of the painting.
Answer to Problem 4MS
The width is 12cm and the length is 18cm of the painting.
Explanation of Solution
Given information:
Length of the painting is 6cm longer than its width.
Painting is surrounded by 2cm wide mat.
Painting is covered by glass of area 352 cm2.
Formula used:
Calculation:
Step 1:
Step 2:
Let, x=width.
Step 3:
The mat is 2cm wide surrounding the painting,
So, the dimensions are increased by 4cm each
The mat is covered by a piece of glass that is
Since,
We have,
Step 4:
Substituting for y, we get-
Factored the above given us:
For this equation, if either term equals 0 then the equation holds true.
Therefore,
Since -26 doesn’t make sense for a measurement as negative number cannot be a side of a shape then x must equal to+12.
Step 5:
So, the dimensions of the painting are:
Therefore, the width of the painting is 12cm and length is 18cm.
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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