Quadrilaterals and Polygons: Squares, Rectangles and Rhombi

think icon Think & Click: Section Warm-Up

Now, you try. Complete the Think & Click activity by looking at the problem below, thinking about it, and then clicking on the question to reveal the solution.

Use rhombus PQRS to answer the questions below.

Rhombus PQRS with diagonals intersecting at point C

 

If side PQ measures 19x + 3 and side PS measures x + 39, find the value of x.
 

19x + 3 = x + 39

19x = x + 36

18x = 36

x = 2
 

PR measures 10 and QS measures 16. Find the area of triangle PCQ.
 

P C equals one-half PR equals one-half the quantity 10 equals 5: Q C equals one-half QS equals one-half the quantity 16 equals 8

Area of triangle PCQ = one-half b times h = one-half times 5 times 8 equals 20