Posted by **Anonymous** on Saturday, April 28, 2012 at 12:44am.

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**, Saturday, April 28, 2012 at 9:03am
1. base -- b

height ==h

bh = 216

2b + 2h = 66

b+h = 33

h = 33-b

then b(33-b) = 216

b^2 - 33b + 216=0

(b-24)(b-9) = 0

b = 24 or b=9

if b=24, h = 33-24 = 9

if b = 9 , h = 33-9 = 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 right-angled triangles at each end

So you have a rectangle + 2 equal right-angled triangles

in each of those triangles, the hypotenuse is x

the base is 4

Find the height using Pythagoras,

the rest is easy.

## Answer This Question

## Related Questions

- Geometry - The measure of the consecutive sides of an isosceles trapezoid are in...
- geometry - An isosceles trapezoid has base angles equal to 45 and bases of ...
- geometry - ABCD is an isosceles trapezoid with a height of 4 inches and bases of...
- algebra - sooo confusing... 6. (ΒΌ + 7/8)(9/13) A81/13 B17/104 C81/104 D17/29 E17...
- geometry - Find the perimeter of an isosceles trapezoid with base lengths of 10 ...
- geometry - Find the perimeter of an isosceles trapezoid with base lengths of 10 ...
- geometry - An isosceles trapezoid with that bases 16 in and 34 in are inscribed ...
- Math - Rose's garden is in the shape of a trapezoid. If the height of the ...
- geometry - The equal sides of an isosceles trapezoid each measure 5, and its ...
- geometry - the equal sides of an isosceles trapezoid eah measure 5, and its ...

More Related Questions