The height of purse which is in trapezoid shape is 26 cm
Solution:
Clara has a purse in the shape of a trapezoid
The area of trapezoid is given by formula:
[tex]Area = \frac{a+b}{2} \times h[/tex]
Where,
"h" is the height
"a" and "b" are the parallel sides length
From given,
Area = 754 cm
a = 22 cm
b = 36 cm
h = ?
Substituting the values in formula,
[tex]754 = \frac{22+36}{2} \times h\\\\754 = \frac{58}{2} \times h\\\\Simplify\ the\ above\ expression\\\\754 = 29h\\\\Divide\ both\ sides\ of\ equation\ by\ 29\\\\h = 26[/tex]
Thus height of purse which is in trapezoid shape is 26 cm
