+63 An isosceles trapezoid has perimeter of 42 inches. Each of the congruent nonparallel sides is 5 inches long, and the trapezoid is 3 inches tall. How long are the two parallel sides?
a. 12 inches and 20 inches
b. 10 inches and 22 inches
c. 10 inches and 16 inches
d. 16 inches and 16 inches
+129847 Let the bottom base be the longer side
The non-parallel side and the height form a 3-4-5 right triangle
So....using symmetry....the bottom base is (4 + 4) = 8 units longer than the top base
So.....we have
x +( x + 8 )+ 5 + 5 = 42 simplify
2x + 18 = 42
2x = 24
x = 12 = the top base
x + 8 = 20 = the bottom base
So
a. 12 inches and 20 inches
+118667 Draw the trapezoid.
Label the sides.
Divide it into 2 right angled triangles and one rectangle.
Find all three sides of the triangle.
Since the whole perimeter is 42 cm.
It is not too difficult to finish the question for yourself
Ask specific questions if you get stuck.
