The perimeter of one triangle is 20 m with an area of 19.6 m² the perimeter of another triangle is 34 with an unknown Area find the area around the nearest 10th

The unknown area to the nearest tenth is 33.3cm²

Explanation:

We shall solve this question using proportion.

Given two triangles say 1 and 2, let

P1 be the perimeter of triangle 1

A1 be the area if triangle 1

P2 be the perimeter of triangle 2

A2 be the area if triangle 2.

If the perimeter of one triangle is 20m with an area of 19.6m², then we can say;

P1 = 20m

A1 = 19.6m²

Similarly,

If the perimeter of another triangle is 34m with an unknown area, then we can say;

P2 = 34m

A2 = ?

Using proportion below to find the unknown area, we have;

P1/A1 = P2/A2

Substituting the given datas will give;

20/19.6 = 34/A2

Cross multiplying;

20A2 = 19.6*34

20A2 = 666.4

A2 = 666.4/20

A2 = 33.32cm²

A2 = 33.3cm² (to the nearest 10th)

The unknown area of the triangle to the nearest tenth is 33.3cm²

33.2 m2

Explanation:

We shall be using the concept of linear interpolation to determine the area of he unknown triangle.

We are given that there is one triangle having an area if 19.6 whose perimeter is 20.

Using this information, we find the area of second triangle whose perimter is given as 34

Area / 34 = 19.6 / 20

Area = 33.2

Hence the area of the unknown triangle would be 33.2 m2 based on approximation