Question

I really need help lol...you get 81 POINTS!!!!!!!!!!!!!!!!!!

Answer 1

area = 82 cm²

Explanation:

The figure comprises a trapezoid, a triangle and a square.

Calculating areas of the three shapes separately and then adding them will give us the required area of the composite figure.

Area of square : (side)²

= (2)²

= 4 cm²

Area of triangle : ½ × b × h

= ½ × 3 × 12

= 3 × 6

= 18 cm²

Area of trapezoid : ½ × (a + b) × h

= ½ × (5+5) × 12

= ½ × 10 × 12

= 5 × 12

= 60 cm²

Now, area of the composite figure :

= 4 + 18 + 60

= 22 + 60

= 82 cm²

Answer 2

• 82 cm²

Explanation:

If you exclude the square on the bottom, you have a trapezoid with bases of 5 cm and 8 cm and the height of 12 cm.

Its area is:

• A = (5 + 8)*12/2 = 78 cm²

Add the area of the square with sides of 2 cm:

• A = 2*2 = 4 cm²

Total area is:

• A = 78 + 4 = 82 cm²