Do you have a protractor? You’ll need one measure the angles.
Total length of the trim painted is 15.75 unit.
<u>Given:</u>
- Co-ordinate of point A = (-2,4)
- Co-ordinate of point B = (2,2)
- Co-ordinate of point C = (-1,-2)
<u>Find:</u>
<em>Total length</em> of the trim painted
<u>Computation:</u>
Distance between two point = √(x1 - x2)² + (y1 - y2)²
Distance between AB = √(-2 - 2)² + (4 - 2)²
Distance between AB = √16 + 4
<em>Distance between AB</em> = 2√5 unit = 4.47 unit
Distance between BC = √(2 + 1)² + (2 + 2)²
Distance between BC = √9 + 16
<em>Distance between BC</em> = 5 unit
Distance between AC = √(-2 + 1)² + (4 + 2)²
Distance between AC = √1 + 36
<em>Distance between AC</em> = √37 unit = 6.08 unit
Total length of the trim painted = 4.47 + 5 + 6.08
Total length of the trim painted = <em>15.75 unit (Approx.)</em>
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Answer:
The correct answer is option d. 576 ft^2
Step-by-step explanation:
From the figure we can see that a prism
<u>To find the surface area</u>
Surface area = Base area + area of 2 triangles + Two side area
Base area = length * breadth = 15 * 12 = 180 ft^2
Area of triangle = bh/2 = (12 * 8)/2 = 48 ft^2
Area of two triangle = 48 * 2 = 96 ft^2
Area of one side = 15 * 10 = 150 ft^2
Area of two side = 2 * 150 = 300 ft^2
Surface area = 180 + 96 + 300 = 576 ft^2
The correct answer is option d. 576 ft^2
