The image shows the dimensions of a pool.

Explanation:

Extend the side that's 9.5 meters long out to the left so that you form a trapezoid on top and a rectangle underneath. The side we extended is now 5+9.5 = 14.5 meters long.

Let

The goal is to find A+B

The trapezoid has the parallel sides of 14.5 and 10 meters. The height of the trapezoid is 28-20 = 8 meters. So we can say

Area of trapezoid = height*(base1+base2)/2

A = h*(b1+b2)/2

A = 8*(14.5+10)/2

A = 98

The rectangle has area of B = length*width = 5*20 = 100 square meters

Therefore,

total area = A+B = 98+100 = 198 square meters.

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.