Find the area of the following shape:

19 cm²

Step-by-step explanation:

→ Work out the area of the rectangle

1 × 7 = 7

→ State the formula for the area of the triangle

0.5 × base × height

→ Find the base and height

Base = 3 and height = 8

→ Substitute values into formula

0.5 × 3 × 8 = 12

→ Add this total to the rectangle formula

12 + 7 = 19 cm²

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°