Chapter 11, Problem 6MCQ

To determine

To find: How much space is available for engraving text onto the award?

Answer to Problem 6MCQ

The space available for engraving text onto the award is $A=31.5{\text{in}}^2$ .

Explanation of Solution

Given information:$$

Diagonals of the rhombus are $7$ inches and $9$ inches.

Finding surface area of the rhombus,

  $\begin{array}{l}A=\frac{pq}{2}\to p\text{and }q\text{ are diagonals}\\ A=\frac{7\times 9}{2}\\ A=\frac{63}{2}\\ A=31.5{\text{in}}^2\end{array}$

The space available for engraving text onto the award is $A=31.5{\text{in}}^2$ .