The ratio is 18 to 32.
That means if the height of the small one is h, the larger one will have a height of 32/18
Area formula in the smaller one = h1 * (l1 + l2) / 2
Area formula in the larger one is =(32/18 h1) * (32 /18 l1 + 32/18 l2) / 2 Take out the common factor of 32/18 inside the brackets. Be careful how you handle that.
Area of the larger one = (32/18) h1 * 32/18 (l1 + l2) / 2
Area of the larger one = (32/18) * (32/18) * h1 (l1 + l2) / 2
Area of the larger one = (32/18)^2 * h1 (l1 + l2) /2
Now here's the kicker. h1 * (l1 + l2) /2 is the area of the smaller one so you just put 310 m^2
Area of the larger one = (32/18)^2 * 310
Area of the larger one = 3.16 * 310
Area of the larger one = 980 m^2
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