Find the area of the explain bogus answers reported

area of trapezoid = (1/2)(B + b)h

where B = length of one base; b = length of the other base; h = height

You have

b = 12 ft (the upper base)

B = 8.7 ft + 12 ft = 20.7 ft (the lower base)

Now we need the height, h. The triangle has a right angle and a 30-deg angle, so the third angle must measure 60 deg. It is a 30-60-90 triangle. In a 30-60-90 triangle, the hypotenuse is trwice the length of the shourt leg. The height of the trapezoid is the short leg of the triangle.

h = (10 ft) /2 = 5 ft

The height of the trapezoid is 5 ft.

area of trapezoid = (1/2)(20.7 + 12)(5) ft^2

area = 81.75 ft^2

81.75

we know that Area of a trapezoid

and are parallel sides

is the height or altitude of the trapezoid

we have

.

we need to find by using pythagorean identity.

area of the trapezoid

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."