Posted by geometry on Friday, July 11, 2014 at 10:30am.
ABCDE is a Pentagon with BE parallel to CD and BC parallel to DE. BC is perpendicular to CD. if the perimeter of ABCDE is 21cm. Find the value of x and y.

maths  Reena, Thursday, July 30, 2015 at 11:36am
Since BC DE and BE  CD with BC bisects CD, BCDE is a rectangle.
: opp sides are equal
i.e, BE = CD : x + y = 5 ......(1)
DE = BC : x  y .......(2)
Since perimeter of ABCDE is 21
: AB + BC + CD + DE + EA = 21
3 + x  y + x + y + x  y + 3 = 21
6 + 3x  y = 21
3x  y = 15
Adding (1) and (2) we get
4x = 20
x = 20/4
x = 5
Putting x = 5 in (1)
(5) + y = 5
y = 5  5
y = 0
: x = 5 , y = 0
Answer This Question
Related Questions
 maths  The convex pentagon ABCDE has a right angle at B,AB=BC andCD=DE=EA=1cm,...
 geometry  A pentagon ABCDE. EG drawn parallel to DA meets BA produced at G and ...
 geometry  In the diagram, ABCDE is a regular pentagon with the measure of ...
 maths  a shape ABCDE is made up of an isosceles triangle and a rectangle. The ...
 maths  A shape ABCDE is made up of an isosceles triangle and a rectangle. The ...
 Algebra  Match ABCDE with the solution set below A. {4/3, 4} B. {xx > 4 or...
 geometry  with 2 pentagons (A, B, C, D, E) & F, G, H, I, J.) start with A in ...
 Geometry  Problem: ABCDE$\ is an equilateral pentagon with side length 2 in ...
 Algebra Grade 7  Pentagon ABCDE ~ Pentagon FGHIJ. Find BC for GH =12, IJ = 15 ...
 geometry  Find the area of a pentagon ABCDE with verticles A(0,4),B(3,2),C(3,1...
More Related Questions