We can now use these values to find the area of the shaded region. And next, to find the area of the kite, we multiply the two diagonals and divide by two, which is 30 times 25 over two giving us an answer of 375 square feet. We can see that our base is 30 feet and our height is 25 feet. So let’s start then with our parallelogram. And secondly, the area of a kite is equal to 𝑝 times 𝑞 over two where 𝑝 and 𝑞 are the diagonals of the kite. The first one that the area of a parallelogram is equal to the base times the height. But perhaps the simplest is to realize that the shaded region can be found by working out the area of the parallelogram and then subtracting the area of the kite. There are a number of ways in which we could find this area. So now, let’s work out how we would find the area of the shaded region. In our diagram, we could see the annotations on the line indicating that our horizontal lines are parallel and our two other lines are also parallel, which is therefore sufficient to show that we have a parallelogram. This is, therefore, sufficient to say that we do indeed have a kite.įor a parallelogram, we would need to show that there are two pairs of opposite-sides parallel. And the two lines on our shorter diagonal indicate that these two lengths are the same size. Looking at our diagram, we can see that the diagonals do you have a 90-degree angle. We can remember that perpendicular means at 90 degrees and to bisect means to cut exactly in half. And the longer diagonal bisects the shorter one. We can recall that the diagonals of a kite are perpendicular. But let’s be sure mathematically if this is the case.

It looks as though we have a kite internally and a parallelogram externally. Let’s start this question by looking at the sheets in our diagram.

Area of a kite shape