Find The area of the trapezoid
Please help with questions 25-26

Answer:
Part 1) [tex]A=96\ cm^{2}[/tex]
part 2) [tex]A=40.8\ ft^{2}[/tex]
Step-by-step explanation:
Part 1)
we know that
The area of a trapezoid is equal to
[tex]A=(1/2)[b1+b2]h[/tex]
In this problem we have
[tex]b1=12\ cm[/tex]
[tex]b2=6+12+2=20\ cm[/tex]
[tex]h=6\ cm[/tex] ----> perpendicular distance between the two bases
substitute
[tex]A=(1/2)[12+20](6)[/tex]
[tex]A=96\ cm^{2}[/tex]
Part 2)
we know that
The area of a kite is equal to
[tex]A=(1/2)[D1*D2][/tex]
we have
[tex]D1=10.2\ ft[/tex]
[tex]D2=8\ ft[/tex]
substitute
[tex]A=(1/2)[10.2*8][/tex]
[tex]A=40.8\ ft^{2}[/tex]
Answer:
25) 96 cm²
26) 40.8 ft ²
Step-by-step explanation:
25) To find the area of trapezoid
Area of trapezoid = h(a + b)/2
Here a = 6 + 12 + 2 = 20 cm
b = 12 cm and h = 6
Area = h(a + b)/2
= 6(20 + 12)/2
= 96 cm²
26) To find the area of kite
Area of kite = pq/2
Where p and q are the two diagonals
Here p = 10.2 ft and q = 8 ft
Area = pq/2
= (10.2 * 8)/2 = 40.8 ft²