Question

The perimeter of a rectangular plot of land whose length is (2x+5) and width (x-10)m is 80m Find;

i. the value of x
ii. the area of the plot
iii the cost of weeding the plot at $ 0.24 per m square

Answer 1

x = 15

The area is 175
`meters^(2)`

Cost of weeding is $42

Explanation:

The perimeter includes two lengths and two widths, so the equation for x would be

2(2x +5) + 2(x -10) = 80 Distribute the 2's

4x + 10 + 2x -20 = 80 Combine the like terms

6x -10 = 80 Add 10 to both sides

6x = 90 Divide both sides by 6

x = 15

Area is length times width. We need to find the length and width.

2x + 5

2(15) + 5

30 + 5

35 is the width

x -10

15-10

5 is the length

A = (l)(w)

A = (35)(5)

A = 175 The area is 175

The cost of weeding is 175 x .24 = 42