Answer:
8) 24 meters
9) 50.75 feet
10) 166 meters
Explanation:
8) the perimeter is the sum of all sides of your shape. The shape is a rectangle, so you know 2 sides are the same length, 16.3 meters, and the other two sides are the size of the width, that is asked for.
so the perimeter = 2*length + 2*width which gives you the equation
80.6 = 2*16.3 + 2*x
then you solve it this way:
80.6 = 32.6 + 2x | substract 32.6 on both sides
48 = 2x | divide by 2 on both sides
24 = x
so you know the width is 24 meters
9) again, the perimeter is the sum of all 3 sides of your triangle.
2 sides are each 36 and 3 quarters feet long.
so the equation is perimeter = 2*36 3/4 + unknown side, giving you the equation
124 1/4 = 2 * (36 3/4) + x
124.25 = 73.5 + x | substract 73.5 on both sides
50.75 = x
so the third side is 50.75 feet (or in other writing 50 and 3/4 feet)
10) so on the image you see that the park is a triangle. you are given the area and one side (along Second Ave) and you need to figure out the length of the side along Front Street. When you "double" the triangle, you get a rectangle.
The area of the imagined rectangle is 2 times the area of the triangle (the park), so the area of our rectangle is 13778.
The area of a rectangle is calculated width * length.
This gives you the equation
13778 = 83 * x | divide both sides by 83
166 = x
So the length of the park along Front Street is 166 meters.