Find the base and height of the figure. find the area of the figure.

height ≈ 5.70 m

Base ≈ 13.70 m

Area = 61.845 m

Step-by-step explanation:

The figure above is a trapezium. The area of a trapezium  is given as

1/2 × (a + b) × h

a = 8m

b = ?

using the right angle triangle we can find the height and the base .

Applying SOHCAHTOA principle

sin 45° = opposite/hypotenuse

sin 45° = opposite/8

cross multiply

opposite = 8 × sin 45°

opposite = 8 ×  0.7071067812

opposite =  5.6568542495

height = 5.70 m

Base of the triangle

cos 45° = adjacent/hypotenuse

0.7071067812  = adjacent/ 8

adjacent = 8 ×  0.7071067812

adjacent =  5.6568542495

adjacent = 5. 70 m

area of trapezium = 1/2 × (a + b) × h

a = 8 m

b = 5.7 + 8 = 13.7 cm

h = 5.7 cm

area of trapezium = 1/2 × (8 + 13.7) × 5.7

area of trapezium = 1/2 × 21.7 × 5.7

area of trapezium = 1/2 × 123.69

area of trapezium = 61.845 m

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6

i dont know sorry

step-by-step explanation: