Question

Find the area of each figure below

Answer 1

Answer:

25. $27a^{3}b^{2}$

26. $3\pi x^{3}y$

Step-by-step explanation:

For 25:

$A = \frac{a+b}{2} h$  (area of a trapezoid)

$A=\frac{11a^{2}b+7a^{2}b}{2} *3ab$  (substitute terms)

$= \frac{18a^{2}b}{2}*3ab$  (collect like terms)

$= 9a^{2}b*3ab$  (reduce the fraction by crossing out 2)

$= 27a^{3}b^{2}$  (calculate)

For 26:

$A=\pi r^{2}$  (equation of area of a circle)

$A=\pi (3x^{3} y)^{2}$  (enter the radius)

$= 3\pi x^{3} y$  (communtative property to reorder the terms)