Question

Find the area of the figure.

Answer 1

1) 143 square inches

2) 32 square inches

3)152 square yards

4) 150 square inches

Explanation:

Finding the area:

1) Parallelogram:

base= 11 in ;height = 13 in

`\sf \boxed{\text{Area of parallelogram = base * height}}`

= 11 * 13

= 143 square inches

2) Triangle:

base = 8 cm ; height = 8 cm

`\sf \boxed{\text {Area of triangle = } (1)/(2)*base * height}`

`\sf =(1)/(2)*8 * 8\\\\= 4 * 8\\\\= 32 \ in^2`

3) Kite:

diagonal = p = 7 + 12 = 19 yd

diagonal 2 = q = 8 + 8 = 16 yd

`\sf \boxed{\text{Area of kite =} (pq)/(2)}`

`\sf =(19*16)/(2)\\\\= 19*8\\\\= 152 \ yd^2`

4)Trapezium:

a = 13 in ; b = 12 ; h = 12 in

a,b are the parallel sides of the trapezium.

`\sf \boxed{\text{Area of trapezium = }((a + b)*h)/(2)}`

`\sf = ((13+12)*12)/(2)\\\\\\=(25*12)/(2)\\\\=25*6\\\\= 150 \ in^2`