The solution is:
small square side = 9 inches
large square side = 9 + 3 = 12 inches.
Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area of a square (A) is the product of its length (l) and width (l).
i.e. A= l× l
Let the smaller square have a side length of s
The the larger square have a side length of s + 3
Total area of the two squares is 225
Formula
s^2 + (s + 3)^2 = 225
Expand
we get,
Solution
s^2 + s^2 + 6s + 9 = 225
2s^2 + 6s + 9 = 225
Subtract 225 from both sides
2s^2 + 6s - 216 = 0
This factors.
( x - 9)(x + 12) = 0
x - 9 =0
x + 12 = 0
x = 9 is the only valid root for this question.
Hence, The solution is:
small square side = 9 inches
large square side = 9 + 3 = 12 inches.
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complete question:
The length of each side of a square is 3 in more than the length of each side of a smaller square. The sum of the areas
the squares is 225 in. Find the lengths of the sides of the two squares.
A side of the small square is in.; a side of the big square is in.
-169
169
-540
540
Answer:
540
Step-by-step explanation:
-10 * -6 = 60
60 * 9 = 540
When you multiply two negatives, the negative sign cancels out, and the number becomes positive.