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

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