Exercise 11 Page 626

The area of a trapezoid is one half the product of its height and the sum of its bases. In the given diagram, we can see that the lengths of the bases are 21 and 38 inches and the height is 16 inches.

Since we have the height and the lengths of the bases, we can substitute them into the formula for the area of a trapezoid.

A=1/2h(b_1+b_2)

SubstituteValues

Substitute values

A=1/2(16)( 21+38)

▼

Evaluate right-hand side

AddTerms

Add terms

A=1/2(16)(59)

MoveRightFacToNumOne

1/b* a = a/b

A=(16)(59)/2

ReduceFrac

a/b=.a /2./.b /2.

A=8(59)

A=472

The area of the trapezoid is 472in^2.