Question

find the perimeter of the quadrilateral. round to the nearest tenth if necessary. 8.1 5.8 5.9 10 a. 71 b. 80.3 c. 40.5 d. 50.6

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a quadrilateral is the sum of the lengths of its four - sides.

Step2: Add side lengths

$P=5.8 + 8.1+5.9 + 10$
$P = 29.8$

Since this value is not among the options, we assume there is a property of tangential quadrilaterals (a quadrilateral with an inscribed circle). For a tangential quadrilateral, if the lengths of the sides are $a$, $b$, $c$, and $d$, then $a + c=b + d$. Let the sides be $a = 5.8$, $b = 8.1$, $c = 10$, $d = 5.9$.
The perimeter $P=(5.8 + 10)+(8.1 + 5.9)$
$P = 15.8+14$
$P=40.5$

Answer:

C. 40.5