Geometry
posted by Anonymous .
1. What is the base and the height of the rectangle if the area is 216 and the perimeter is 66?
2.The perimeter of an isosceles trapezoid is 40 ft. Thr bases of the trapezoid are 11ft and 19 ft. Find the area of the trapezoid.

Geometry 
Reiny
1. base  b
height ==h
bh = 216
2b + 2h = 66
b+h = 33
h = 33b
then b(33b) = 216
b^2  33b + 216=0
(b24)(b9) = 0
b = 24 or b=9
if b=24, h = 3324 = 9
if b = 9 , h = 339 = 24
the rectangle is 24 by 9, (you can call either one the base, then the other is the height)
2. Make a sketch, label each of the equal sides x
construct rightangled triangles at each end
So you have a rectangle + 2 equal rightangled triangles
in each of those triangles, the hypotenuse is x
the base is 4
Find the height using Pythagoras,
the rest is easy.
Respond to this Question
Similar Questions

Math
Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m and the area is 224m2, what is the length of the other base? 
algebra
sooo confusing... 6. (¼ + 7/8)(9/13) A81/13 B17/104 C81/104 D17/29 E17/13 F17/25 7. [6(2+1) 6(1+1)] / [6(42)  22 ] A3/2 B3/4 C3/5 D3 E1/3 F2/3 8. 3(y – 5)  (2y + 1) Ay +14 B5y  4 C5y + 14 D13y E5y 6 Fy – 4 For problems … 
geometry
Find the perimeter of an isosceles trapezoid with base lengths of 10 and 18 and height of 8. 
geometry
Find the perimeter of an isosceles trapezoid with base lengths of 10 and 18 and height of 8. 
geometry
An isosceles trapezoid has base angles equal to 45 and bases of lengths 6 and 12. Find the area of the trapezoid. 
geometry
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 
geometry
An isosceles trapezoid with that bases 16 in and 34 in are inscribed in a circle such that one of the bases is the diameter. Find 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
which figure has the same area as the parallelogram shown below? 
geometry please help!!!!
The base of a right prism is isosceles trapezoid with legs c=d = 5 cm, bases a=8 cm and b=14 cm, and altitude of the trapezoid k=4 cm. The height of the prism h=10 cm. Find: Lateral area