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seropon [69]
2 years ago
11

PLEASE HELP I've tried putting all my working out into the box but it said wrong to..​

Mathematics
1 answer:
Inessa05 [86]2 years ago
4 0

Answer:

£59.25

Step-by-step explanation:

It appears you can measure the height of the trapezoid [trapezium  :-)  ??].  If you can't, you can use the Pythagorean Theorem (image attached).  Draw a line from the upper right-hand corner down to the baseline--the 20m side.  You'll form a right triangle with one leg  <em>h</em> , hypotenuse 17m and the other leg  8m  (the difference between 20m and 12m).

(leg)^2 + (leg)^2 = (hypotenuse)^2

<em>h</em>^2 + 8^2 = 17^2

h^2 + 64 = 289

h^2 = 225

h = 15m

The area of the trapezium is A=\frac{1}{2}h\left(b_1+b_2\right)  where the <em>b</em>'s are the lengths of the two bases (upper and lower sides).

A=\frac{1}{2}(15)(12+20)=\frac{1}{2}(480) = 240 m^2

One can of weedkiller covers 100 m^2 of area.  You'll need 3 cans (2 cans isn't enough, and you can't buy a fraction of a can).  Tricky question!

Three cans will cost  3 x 19.75 pounds = £59.25

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