What is the area of this figure?
2 answers:
This figure can be divided into two parts
1. A square of side 7 inches
2. A triangle of base 12 inches and height 7 inches
Lets calculate the individual areas and add them up
1. Area of the square = side × side
= 7×7 = 49 sq.inches
2. Area of the triangle = × base ×height
× 12 × 7
= 42 sq. inches
Lets add up the areas of the square and the triangle
= 49+42 = 91 in²
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The dimension that would give the maximum area is 20.8569
<h3>How to solve for the maximum area</h3>
Let the shorter side be = x
Perimeter of the semi-circle is πx
Twice the Length of the longer side
Length =
Total area =
area of rectangle + area of the semi-circle.
Total area =
When we square it we would have
This gives
From here we divide by 2
The maximum side would be at
This gives us 20.8569
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