A side of a square garden is represented by the expression 2s + 5. Which expression represents the area of the garden?
1 answer:
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Calculate area of the white region inside circle.
Area of the two white triangles in top left and bottom right:
Area of the two white quarter circles in the bottom left and top right:
Total area of unshaded white region inside circle:
Area of entire circle including the white and shaded regions
Area of shaded region is area of entire circle - area of unshaded white region
2.5 ft.
a rectangle's area is Length • Width
a rectangle's area is Length • Width
So with this, we will be using proportions. To solve for x, our proportion will be
Firstly, cross-multiply:
Next, subtract 36 on both sides:
Next, replace -9x with 3x-12x
Next, factor x^2+3x and -12x-36 separately: . After, rewrite it as
Next, solve for x separately in the two parentheses:
Since we can't have a negative length, x = 12.
To solve for y, our proportion will be
Firstly, cross-multiply:
Next, just square root each side, and your answer will be (rounded to hundredths)
In short, x = 12 and y = 10.39.