Question

The sides of a triangle are in the ratio, 4:5:7 and its perimeter is 64cm. find its area , correct to 2 decimal places

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Answer 1

since you have not specified the height, I will use any no.

= 0.16

Explanation:

perimeter is the distance round

add the ratios; 4+7+5=16

Ratio 16= Perimeter 64cm

R.16=64cm, find all the ratios

start with ratio 4

R.16=64cm

R.4×64cm÷16=16 cm

R.5×64÷16= 20 cm

R.7×64÷16=28 cm

A=1/2× b×h

1/2×16×20= A= 160cm2

2 dp, divide

0.16

Answer 2

Explanation:

First find all the sides of the triangle:

Total parts: 4+5+7 = 16

cm per part = 64/16 = 32/8 =4cm

therefore, all measures: 16cm, 20cm, 28cm.