Question

A right-angled triangle DEF is placed on top of a rectangle DFGH to form a compound shape. What is the perimeter of this shape? Give your answer in centimetres (cm) to 1 d.p. 6 cm H 3 cm E 5 cm EXF 6 cm G Not drawn accurately​

Answer 1

25.8 cm

Explanation:

Add all the known side lengths:

6+3+6+5= 20

Now in order to find line DF, you need to use pythagorean thoerem:

5^2+3^2= c^2

25+9=c^2

34=c^2

Simplify:

c=
`√(34)`

root 34 in decimals is 5.8

Now add 5.8 to 20