Geometric Modeling Math Example 3

Follow the full solution, then compare it with the other examples linked below.

easy

A triangular warning sign has a base of

60

cm and height of

52

cm. What area of reflective material is needed to cover the sign?

1
Step 1: Model the sign as a triangle with base $b = 60$ cm and height $h = 52$ cm.
2
Step 2: Area $= \dfrac{1}{2}bh = \dfrac{1}{2}(60)(52) = 1560$ cm $^2$ .

Answer

1560

^2

of reflective material.

Modelling the sign as a triangle allows the area formula

A = \tfrac{1}{2}bh

to be applied directly. Geometric models are practical tools in manufacturing, construction, and design.

About Geometric Modeling

Using geometric shapes and their relationships to represent, approximate, and analyze real-world objects and situations.

A garden is modelled as a rectangle [formula] m long and [formula] m wide. Calculate the area to be

A can of soup is modelled as a cylinder. The can is [formula] cm tall and [formula] cm in diameter.

A swimming pool has a rectangular flat bottom ([formula]) with a semicircular end on each short side