Chapter 11, Problem 2RP

a.

To determine

To calculate:Thearea of rhombus with base ADof $9$ and heightBE of $7$ .

Answer to Problem 2RP

The area of rhombus is $63$ .

Explanation of Solution

Given information:

A rhombus with base AD of $9$ and height BE of $7$ .

Formula used:

Area of rhombus: $A=b\times h$

b = base of rhombus

h = height of rhombus

Calculation:

  

Area of rhombus:

  $\begin{array}{l}A(ABCD)=AD\ast BE\\ A(ABCD)=9\ast 7\\ A(ABCD)=63\end{array}$

b.

To determine

To find: The area of rhombus with diagonals AC of $11$ and BD of $6$ .

Answer to Problem 2RP

The area of rhombus is $33$ .

Explanation of Solution

Given information:

A rhombus with diagonals AC of $11$ and BD of $6$ .

Formula used:

Area of rhombus $=\frac{1}{2}(d_1\times d_2)$

where d₁and d₂are diagonals of rhombus.

Calculation:

  

Area of rhombus:

  $\begin{array}{l}A(ABCD)=\frac{1}{2}\times AC\times BD\\ A(ABCD)=\frac{1}{2}\times 11\times 6\\ A(ABCD)=33\end{array}$