(i) What is the area of a rectangular gym wall that is 30m wide by 1·5m high? (ii) How much paint is needed for two coatings of the wall (a litre of paint will cover 15m2 (iii) If the paint comes in 5 litre buckets which cost €23·30, what is the cost of painting the gym wall?
2. The builder wants to put a 2m wide concrete path around the outside of a 12msquare building. What is the area of the path? (Hint: draw a sketch.)
90 m
3. Two pitches next to each other are shown on the right.
(i) Find the total area of the fields in metres squared (m2
). 45 m
(ii) If a person started at point A and walked around the very outside of the entire playing area and back to point A, what distance will they have travelled in metres?
90 m 32.5 m A on average)?
110 m
32.5 m
4. Seamus is making repairs to his house. He has leaned a piece of plywood against the wall of his sitting room. The plywood, floor and wall form a right triangle. The plywood and the wall form a 20° angle. What are the measures of the other two angles of the triangle?
(Hint: draw a sketch.)
5. To the right is a sketch of a baseball field, a popular sight in the USA.
In the diagram |AB| = |AC| and |∠BAC| = 90° Find:
(i) (ii)
|∠ABC| |∠ACB|
(iii) What type of triangle is ∆ABC?
6. A stone shed has a gable end as shown in the diagram. (i) Find the area of this gable end of the shed.
(ii) The owner wants to plaster this end wall of the shed. The plaster comes in tubs, each of which will cover 3 m2 wall. Given that the window occupies 1·5 m2
of the gable end, how many full tubs of plaster will the owner need?
(iii) Each tub of plaster cost €75 plus 21% VAT. The plasterer charges €400 plus 13% VAT to do the entire job. Find the total cost to the owner, of plastering the wall.