LC)A polygon is shown:

A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.

The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.)

Question

13-07-2022
Advanced Placement (AP)

contestada

LC)A polygon is shown:

A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.

The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.)

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Lanuel Lanuel · Answer 1 · 2022-07-14T18:18:57+02:00

The area of polygon MNOPQR is equal to the area of a rectangle that is 15 square units + area of a rectangle that is 2 square units.

How to calculate the area of this polygon?

First of all, we would determine the area of rectangle MNSR with a side length of 3 units as follows:

Area = L × W

Area = 3 × 5

Area = 15 square units.

Next, we would determine the area of rectangle MNSR with its dimensions as follows:

Length = 7 - 5 = 2 units.

Width = 3 - 2 = 1 unit.

Thus, its area is given by:

Area = L × W

Area = 2 × 1

Area = 2 square units.

Therefore, the area of polygon MNOPQR is equal to the area of a rectangle that is 15 square units + area of a rectangle that is 2 square units.

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