All four sides of the original square have length s.
Adding 3 to s results in s+3, the length of the resulting rectangle.
Subtracting 3 from s results in s-3, the width of the rectangle.
The area of the rectangle is (s+3)(s-3) = s^2 - 9 = 27,
and therefore s^2 = 36, and s = 6 square units.
Find the first semicircle area
Area semicircle can be determined by dividing the full area of circle by 2.
The first semicircle radius is 5 cm
semicircle area = 1/2 circle area
semicircle area = 1/2 × π × r²
semicircle area = 1/2 × 3.14 × 5²
semicircle area = 1/2 × 3.14 × 25
semicircle area = 39.25 cm²
Find the second semicircle area
Because the dimension of the second semicircle is congruent to the first semicircle, they have similar area measurement, 39.25 cm².
Find the quarter circle area
The area of quarter circle can be determined by dividing the full area of a circle by 4.
q circle = 1/4 × area of circle
q circle = 1/4 × π × r²
q circle = 1/4 × 3.14 × 10²
q circle = 1/4 × 314
q circle = 78.5 cm²
To find the entire area, add the area above together
area = first semicircle + second semicircle + q circle
area = 39.25 + 39.25 + 78.5
area = 157
The area of shaded region is 157 cm²
-4x^2+2y^2= b because you add y to the similar factors.
From the interest computed, the monthly payment that will be made is $7500.
<h3>How to calculate the interest</h3>
The formula to calculate the interest will be:
= PRT/100
= (120000 × 15 × 5)/100
= 90000
Therefore, the monthly payment will be:
= $90000/12
= $7500
In conclusion, the correct option is $7500.
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