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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.

Q7. A is the point with coordinates (5,9)B is the point with coordinates (d, 15)The-example-1
User BigPigVT
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1 Answer

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We solve as follows:

*First: We find the area of the trapezium:


A=(a+b)/(2)h

Here a & b are the bases and h is the height, now we replace:


A=(16+10)/(2)\cdot7.6\Rightarrow A=98.8

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:


p=(1\cdot98.8)/(1.9)\Rightarrow p=52

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:


x=(55\cdot16.99)/(5)\Rightarrow x=(18689)/(100)\Rightarrow x=186.89

So, it will cost £186.89 to buy the paint.

User Rafal Pastuszak
by
7.2k points
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