Question

20.

A garden has a lawn with the dimensions 2x - 5m by xm, as shown in
the diagram below.
2x - 5
(a) Find an expression, in terms of x, for the perimeter of the lawn.
Give your expression in its simplest form.
A lawn has a perimeter of 110m.
(b) Work out the value of x.
X
[2 marks]
[2 marks]

Answer 1

Below in bold.

Explanation:

Perimeter P = sum of all the sides

P = 2(2x - 5) + 2x

P = 4x - 10 + 2x

P = 6x - 10.

If the perimeter = 110m then:

110 = 6x - 10

6x = 110 + 10 = 120

x = 120/6

x = 20m.