A block is enclosed by two parallel streets 14 meters apart and are crossed by two other streets not parallel. If the block enclosed is 15 meters on one side and 10 meters on the other, what is the area of the block?
the height of the trapezoid is 14 m
the two bases are 10 m and 15 m
area = height * average of the bases
To find the area of the block, we need to multiply the lengths of the two sides.
The two streets that are not parallel create a rectangle within the block. Let's label the two sides of this rectangle as a and b.
Given that the two parallel streets are 14 meters apart, we know that side b is equal to 14 meters.
Now, we have one side of the rectangle, side b, as 14 meters. We also know that side a is 15 meters.
Therefore, the area of the block can be calculated by multiplying the lengths of the two sides:
Area = a * b = 15 meters * 14 meters = 210 square meters.
So, the area of the block is 210 square meters.