Q7. A is the point with coordinates (5,9)B is the point with coordinates (d, 15)The gradient of the line AB is 3Work out the value of d.

We solve as follows:
*First: We find the area of the trapezium:
[tex]A=\frac{a+b}{2}h[/tex]Here a & b are the bases and h is the height, now we replace:
[tex]A=\frac{16+10}{2}\cdot7.6\Rightarrow A=98.8[/tex]So, the area of the trapezium is 98.8 squared meters.
We know that 1 liter covers 1.9 squared meters, now we determine how many liters of paint we will need:
[tex]p=\frac{1\cdot98.8}{1.9}\Rightarrow p=52[/tex]So, we will need 52 liters of paint, now we will determine the cost:
Since we will need more than 50 liters, then we take it to 55 liters in total (Since the tin of paint is sold for 5 liters each) and calculate the cost:
[tex]x=\frac{55\cdot16.99}{5}\Rightarrow x=\frac{18689}{100}\Rightarrow x=186.89[/tex]So, it will cost £186.89 to buy the paint.