SOLUTION: isosceles trapezoid with a perimeter of 52 yards; the measure if one base is 10 yards greater than the other base, the measure of each leg is 3 yards less than twice the length of
Algebra.Com
Question 843854: isosceles trapezoid with a perimeter of 52 yards; the measure if one base is 10 yards greater than the other base, the measure of each leg is 3 yards less than twice the length of the shorter base, Find the area of the figure
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
A drawing helps, and is difficult to do through this system; so here is a description of the drawing:
Let b = the shorter base.
Longer base is b+10.
Each nonparallel side of the trapezoid is 2b-3, and the trapezoid has two of them.
The perimeter is then .
Omitting the steps,... the solution here is .
The smaller base is 8 yards and the larger base is 18 yards.
Each nonparallel side, .
Relabeling all four sides of this trapezoid, you can figure how it is composed of a rectangle and two congruent right triangles. You want the HEIGHT of this entire figure. Continue analyzing this figure: the triangles each have 5 yard leg at the bottom, hypotenuse of 13, and unknown other leg, y.
We want this y, because this is the height of the figure:
.
, ... .
AREA-------
(Average of the two bases) multiplied by (Altitude of the trapezoid)
Area,
-
13*12=156 square yards
RELATED QUESTIONS
Find the perimeter and area of a rhombus with hight 10 yards and base 13... (answered by Fombitz)
The lone base of a trapezoid is twice the length of the short base. If the height is 16... (answered by josgarithmetic)
one base of a trapezoid is three less than twice the length of the other base. The... (answered by mestrydilip)
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the... (answered by solver91311)
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the... (answered by josgarithmetic)
The length of one base of a trapezoid is 19 less than five times the other base. If the... (answered by Boreal)
The height of a trapezoid is 8 centimeters and one base is 5 centimeters longer than the... (answered by mananth,ikleyn)
The perimeter of a rectangle is 220 yards. The length is 56 yards greater than the width. (answered by ikleyn)
The length of a rectangle is 6 yards longer than its width.
If the perimeter of the... (answered by Jstrasner)