Here is a right-angled triangular tile. 3 cm Diagrams not drawn to scale 4cm A hollow shape is made using four of these triangular tiles and four square tiles. Work out the perimeter of the hollow shape. Optional working + Answer: cm
Answers
Answer:
34 cm
Step-by-step explanation:
3^2 + 4^2 = 5^2
9 + 16 = 25
Two squares will have a length of 4 cm and the other two squares will have a length of 3 cm
(5×4) + (3×2) + (4×2) = 34
Answer:
Area of the triangle is found by using the formula
Step-by-step explanation:
Triangles no. 1 and no. 1a:
base = 3 cm
height = 2 cm
Formula:
A = 0.5 x base x height
= 0.5 x 3 cm x 2 cm = 3 cm2
Triangle no. 2:
base = 3 cm
height = 2 cm
A = 0.5 x 3 cm x 2 cm = 3 cm2
It can be seen that triangles no. 1, no. 1a and no. 2 have the same surface; the shapes of the triangles are different, but the base and the height are in all three cases the same, so the surface is the same.
The surface of these triangles is expressed in square centimetres (written as cm2). Surface areas can also be expressed in square decimetres (dm2), square metres (m2), etc...
Triangle no. 3:
base = 3 cm
height = 2 cm
A = 0.5 x base x height
= 0.5 x 3 cm x 2 cm = 3 cm2
Triangle no. 4:
base = 4 cm
height = 1 cm
A = 0.5 x 4 cm x 1 cm = 2 cm2
Triangle no. 5:
base = 2 cm
height = 3 cm
A = 0.5 x 2 cm x 3 cm = 3 cm2
Triangle no. 6:
base = 4 cm
height = 3 cm
A = 0.5 x 4 cm x 3 cm = 6 cm2
Learn more about the area and perimeter of the hollow square
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