Q:

A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal. A rhombus ABCD is shown with diagonal AC equal to 12.6 feet and diagonal BD equal to 10.4 feet. What is the area of the farm? 32.76 square feet 46 square feet 65.52 square feet 92 square feet

Accepted Solution

A:
When we have diagonals [tex]d_1[/tex] and [tex]d_2[/tex] of a rhombus its area is:

[tex]A=\dfrac{1}{2}\cdot d_1\cdot d_2=\dfrac{1}{2}\cdot |AC|\cdot |BD|=\dfrac{1}{2}\cdot12.6\cdot10.4=\dfrac{1}{2}\cdot 131.04=\\\\\\=\boxed{65.52\text{ feet}^2}[/tex]

Answer C)