geometry
posted by Veronica .
ABCD is an isosceles trapezoid with a height of 4 inches and bases of 10 and 12 inches .What is the perimeter of this trapezoid in inches and feet . HINT:Only the bottom of the entire figure is 16 inches long, not the top

First, we draw the trapezoid with the long base on the bottom. Using dotted lines, we draw 2 altitudes forming 2
congruent rt. triangles and a rectangle.
AE=ED = (ADBC) / 2 = (1210)/2 = 1in =
hor. sides of rt. triangles.
AB = CD = sqrt(1^2+4^2) = sqrt17 =
4.1in. = Length of nonparallel sides.
P = 4.1 + 10 + 4.1 + 12 = 30.2in.
Respond to this Question
Similar Questions

geometry
The bases of a trapezoid measure 1/4 and 3/8 inches, and the height is 1 inch. What is the area of the trapezoid? 
geometry
the area of a trapezoid is 108 square inches and one of its bases has a length of 8 inches. If the height of the trapezoid is 1.5 feet,f ind the length of the other base in inches. 
geometry
What is the area of a trapezoid with bases of 2inches and 4 inches and a height of 3 inches 
Geometry
1. What is the base and the height of the rectangle if the area is 216 and the perimeter is 66? 
Math
Find the height of an isosceles trapezoid who's bases are 8 inches and 24 inches and the legs are 17 inches. 
math
A trapezoid has a height of 7 inches and bases of 11 inches and 4 inches. What is the area of the trapezoid? 
Geometry
The measure of the consecutive sides of an isosceles trapezoid are in the ratio 8:5:2:5 the perimeter of the trapezoid is 140 inches if it's height is 20 inches find the area of the trapezoid 
math
a piece of carpetis in the shape of an isosceles trapezoid with a height of 30 inches and bases 40 and 60 inches. what is the area of the carpet? 
Geometry
The height of a trapezoid is 2 inches. If one base is 14 inches long and the area is 49 inches squared find the length of the other base. I know the Area of a trapezoid is A=1/2(b1+b2)h but Idk how to apply it when working backwards 
Geometry
Isosceles triangle ABE of area 100 square inches is cut by CD into an isosceles trapezoid and a smaller isosceles triangle. The area of the trapezoid is 75 square inches. If the altitude of triangle ABE from A is 20 inches, what is …