A rectangle has length (x + 3) cm and width x cm. The perimeter of the rectangle is 34 cm. Form an equation and solve it to find x.
(3)
16
Three consecutive integers have a sum of 84. Let the smallest integer be n. Form an equation and solve it to find the three integers.
(3)
17
The diagram shows three angles on a straight line: 2x degrees, 3x degrees and x degrees. Form an equation and solve it to find x, then state the size of the largest angle.
Figure (to be drawn): A straight line with three angles marked at a single point, labelled 2x degrees, 3x degrees and x degrees, all on the same side of the line.
(4)
18
An isosceles triangle has two equal base angles of x degrees each. The apex angle is (x + 15) degrees. Using the angle sum of a triangle, form an equation and solve it to find x, then state the size of the apex angle.
Figure (to be drawn): An isosceles triangle with the two base angles marked x degrees and the apex angle marked (x + 15) degrees.