The breadth of a rectangular plot of land is 85% of its length. The difference between the length and breadth is 18m.
A) what is the length
B) what is the area
b=.85l
l-b=18
results after substitution
.15 l=18
l=18/.15
check my thinking
thanks
To find the length and area of the rectangular plot of land, we can set up a system of equations based on the given information.
Let's denote the length of the plot as "L" and the breadth as "B".
Here's what we know:
1) The breadth, B, is 85% of the length, L. In equation form, this can be expressed as B = 0.85L.
2) The difference between the length and breadth is 18m. This can be expressed as L - B = 18.
Now, we can solve this system of equations to find the values of L and B.
A) Finding the length:
Using the equation B = 0.85L, we substitute this expression into the second equation:
L - 0.85L = 18
0.15L = 18
L = 18 / 0.15
L = 120
Therefore, the length of the rectangular plot is 120m.
B) Finding the area:
The area of a rectangle is calculated by multiplying its length by its breadth.
Area = Length * Breadth
We already know the length, L = 120m, and we can substitute the value of L into the first equation to find the breadth:
B = 0.85 * 120
B = 102
Now, we can calculate the area:
Area = Length * Breadth
Area = 120 * 102
Area = 12240
Therefore, the area of the rectangular plot of land is 12240 square meters.