Question

kite efgh is inscribed in a rectangle where f and h are midpoints of parallel sides. the area of efgh is 35 square units. what is the value of x? 4 units 5 units 6 units 7 units

Explanation:

Step1: Recall kite area formula

The area of a kite is $\frac{1}{2} \times d_1 \times d_2$, where $d_1$ and $d_2$ are the lengths of its diagonals.

Step2: Identify diagonal lengths

Here, $d_1 = 2 + 5 = 7$ units, $d_2 = x$ units, and area = 35 square units.

Step3: Substitute into formula and solve

$$35 = \frac{1}{2} \times 7 \times x$$
First calculate $\frac{1}{2} \times 7 = 3.5$, then rearrange: $x = \frac{35}{3.5}$

Answer:

7 units