U.N.E.B 2024: Maths Senior 4: New Lower Secondary Curriculum
About Lesson

Part 2 : Item 6

Your brother wants to design a children’s playground, the play
ground will have a triangular garden and a circular fence
around the garden. The two sides of the triangular garden will
measure 50m and 70m, and the angle between them will be 45<sup>o</sup>
Your brother also wants to construct a circular fence around the
garden such that the circular fence perfectly touches the three
vertices of the triangular garden.
Your brother intends to put pavers in the region outside the
triangular garden but inside the circular fence. Each square
metre of pavers costs Shs 35,000.
Your brother needs help in identifying the type of triangle represented
by the triangular garden, coming up with an accurate design of
the playground as well as the cost of buying the pavers.

Task:
Help your brother to;
a) Construct an accurate design of the children’s playground.
b) Identify the type of triangle represented by the triangular
garden and give a reason for your answer.
c) determine the amount of money needed to buy the pavers.