Question

Please help if you can I’m stuck

Answer 1

• Area of parallelogram = 270 in.²

• Area of square = 225 in.²

• Area of composite figure = 495 in.²

Explanation:

We are given a composite figure made up of a parallelogram and a square and told to find its area.

To do this, we are told first to find the area of the parallelogram. The formula for the area of a parallelogram is:

`\boxed{\mathrm{Area \ of \ parallelogram = base * height}}`.

From the figure, we can see that, for the parallelogram, height = 18 in. and base = 15 in. (since opposite sides of a parallelogram are equal).

Using this information, we can calculate the area of the parallelogram:
Area = base × height

= 15 in. × 18 in.

= 270 in.²

Next, we have to find the area of the square using the formula:

`\boxed{\mathrm{Area \ of \ square = side * side}}`.

From the figure, we can see that the length of a side of the square is 15 in.

Therefore, using the formula above, we can calculate the area of the square:

Area = side × side

= 15 in. × 15 in.

= 225 in.²

Now that we know the respective areas of the two shapes that make up the composite shape, we simply have to add the areas together:

Area of composite figure = 270 in² + 225 in²

= 495 in.²