Area of a trapezoid

Geometry Level 2

The area of the trapezoid shown above is 12 f t 2 12~ft^2 . What is the sum of the lengths of the bases in y a r d s yards ?

Note 1 y a r d = 3 f e e t 1~yard=3~feet


The answer is 4.

A Former Brilliant Member by A Former Brilliant Member

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

A = 1 2 ( a + b ) h A=\dfrac{1}{2}(a+b)h

12 = 1 2 ( a + b ) ( 2 ) 12=\dfrac{1}{2}(a+b)(2)

12 = a + b 12=a+b

The sum of the lengths of the bases is 12 12 feet. There are 3 3 feet in 1 1 yard. So we convert,

( 12 f e e t ) ( 1 y a r d 3 f e e t ) = 4 y a r d s (12~feet)(\dfrac{1~yard}{3~feet})=4~yards

In the above conversion. we multiplied 12 12 feet by 1 1 . Multiplying 12 f e e t 12~feet by 1 1 will not change the value of 12 f e e t 12~feet . The fraction 1 y a r d 3 f e e t \dfrac{1~yard}{3~feet} is equal to 1 1 because 1 y a r d = 3 f e e t 1~yard=3~feet . Feet cancels out, so the answer is 4 4 yards.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Can you state the feet to yard conversion in the problem statement? That would help make the problem more accessible (unless you intentionally want to keep it this way).

Calvin Lin Staff - 4 years, 1 month ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...