Clara has a purse in the shape of a trapezoid the top of the purse measures 22 cm while the bottom of the part measures 36 cm if the area of the purse is 754 centimeters what is the height

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

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:

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,

Thus height of purse which is in trapezoid shape is 26 cm

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:

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,

Thus height of purse which is in trapezoid shape is 26 cm