Question

Help me solve this (pls show working)

Answer 1

Answer:

The area of the polygon is 92.75 cm^2

Step-by-step explanation:

To find the area of the polygon, we simply add up the areas of the constituent triangles

At any point in time;

Area of a triangle = 1/2 * base * height

So we proceed as follows;

(1/2 * 12 * 4.5) + (1/2 * 12 * 5)

= 27 + 30 = 57 cm^2

There is a last triangle with 12 cm and 5 cm as the sides and we need the length of the hypotenuse

The length of the hypotenuse for that triangle will be 13 cm. This is because 5,12 and 13 are Pythagorean triple and they form the sides of a right-angled triangle

So for the last triangle, the area will be;

1/2 * 13 * 5.5 = 35.75 cm^2

So the total area is;

35.75 + 57 = 92.75 cm^2