Question

On a coordinate plane, trapezoid A B C D has points (10, 6), (4, 10), (14, 16), (16, 10). What is the area of the trapezoid? 30 square units 60 square units 90 square units 120 square units

Answer 1

It's B(60 sq. ft.)

Explanation:

Answer 2

60 square units

Explanation:

When given only a list of coordinates, it can sometimes be convenient to compute the area from the sum ...

`A=(1)/(2)\left|\sum\limits_(k=1)^n{(y_(k+1)-y_(k-1))x_k}\right|`

where the indices of the points "wrap around". Here, we are given the points ...

(10, 6), (4, 10), (14, 16), (16, 10)

so this computation gives ...

A = (1/2)|10(10-10) +4(16-6) +14(10-10) +16(6-16)|

= (1/2)|0 +40 +0 -160| = (1/2)(120)

A = 60

The area of the trapezoid is 60 square units.