IM 6.1.3 Practice: Reasoning to Find Area

Find the area of each shaded region. Show your reasoning.

Find the area of each shaded region. Show or explain your reasoning.

Two plots of land have very different shapes. Noah said that both plots of land have the same area.

Do you agree with Noah? [i]Explain [/i]why. You can help illustrate to show your reasoning in the app below.

A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is 80 inches by 40 inches. The tiles are squares and come in three side lengths: 8 inches, 4 inches, and 2 inches. [br][br]Select the statement(s) to which you fully agree is/are true.

Regardless of the size she chooses, the area of the wall that is being tiled is the same. Regardless of the size she chooses, she will need the same number of tiles. She will need four 4-inch tiles to cover the same area as one 8-inch tile. If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch tiles. She will need two 2-inch tiles to cover the same area as one 4-inch tile.

For each choice you selected above, explain why you agree with it. [br]For each choice you did [i]not[/i] select above, explain why you disagree with it.

IM 6.1.3 Practice: Reasoning to Find Area

Find the area of each shaded region. Show your reasoning.

Find the area of each shaded region. Show or explain your reasoning.

﻿Two plots of land have very different shapes. Noah said that both plots of land have the same area.

Information: IM 6.1.3 Practice: Reasoning to Find Area

Two plots of land have very different shapes. Noah said that both plots of land have the same area.