Question

The perimeter of rectangle plot of land whose length is/2x + 5/m and width/x - 10/is 80m find the value of x and area of the plot and cost of weeding the plot at 0.24ghs per m2

Answer 1

Answer:

$area = 175 {m}^{2} \\ cost = 42ghs$

Step-by-step explanation:

length of the rectangle plot = 2x+5

width of the rectangle plot = x-10

perimeter = 80cm

$2(l + b) = 80 \\ \\ 2(2x + 5 + x - 10) = 80 \\ 3x - 5 = 80 \div 2 \\ 3x = 40 + 5 \\ 3x = 45 \\ x = 45 \div 3 \\ x = 15$

length = 2x+5 = 2×15+5= 35m

width = x-10 = 15-10 =5m

area of the rectangle plot = l×b

$l \times b \\ 35 \times 5 \\ 175 {m}^{2}$

cost of weeding the 1m sq. = 0.24ghs

cost of weeding the 175m sq = 0.24 × 175

42 ghs