Question

Work out the area of the lawn

Answer 1

The area of the lawn is 85, sorry i don't actually know but really need some pints rn lol. 

Answer 2

So, the garden is a 14x10 rectangle, meaning is has an area of 14*10 or 140 m².

now, if we just get the area of the triangular flower bed, and the trapezoidal vegetable patch, and "subtract" them from the garden's area, what's leftover is just the area of the lawn.

notice, the flower bed has a height of 8, and a base of 3.

the vegetable patch has parallel sides a = 7, b = 5 and a height of h = 10.

$\bf \stackrel{\textit{area of the garden}}{(14\cdot 10)}~~~~-~~~~\stackrel{\textit{triangular flower bed}}{\cfrac{1}{2}(3)(8)}~~-~~\stackrel{\textit{trapezoidal patch}}{\cfrac{10(7+5)}{2}} \\\\\\ 140~~-~~12~~-~~60\implies 140-72\implies 68$