Deltoid Area Problem: Finding X When Area = 60 cm² and Height = 8

Question

The deltoid below has an area of 60 cm².

888XXX

What is the value of X?

Video Solution

Solution Steps

00:00 Find X
00:03 We'll use the formula to calculate the area of a kite
00:07 (diagonal times diagonal) divided by 2
00:11 We'll substitute the given area value and solve for X
00:14 Divide 8 by 2
00:25 And this is the solution to the problem

Step-by-Step Solution

To solve the problem, we need to remember the formula for the area of a rhombus:

The product of the diagonals multiplied together and divided by 2.

Let's plug in the data we have into the formula:

(8*X)=60
2

Note that we can simplify the fraction, thus eliminating the denominator:

4X=60

Let's divide the equation by 4

X=15

Answer

15