Question

Question 11 Find the area of the rhombus. If XY = 7 ft and X Figure is not to scale. Y W A Z Area =

Answer 1

Given: A rhombus YWZA with XY=7 ft and XA=8 ft.

Since the diagonals of a rhombus bisect each other, therefore

`\begin{gathered} YZ=2* XY=2*7=14\text{ ft} \\ AW=2* XA=2*8=16\text{ ft} \end{gathered}`

As YZ and AW are the diagonals of this rhombus, its area will be:

`\text{Area of rhombus=}\frac{\text{Product of diagonals}}{2}=(14*16)/(2)=112ft^2`

Thus, the area of this rhombus is 112 feet squared.