Hence, James should make the rectangular exercise space 20 meters long and 20 meters wide. That is, the length and width of the rectangular exercise space are 20 feet. You can see that the smallest perimeter is obtained when both the length and width of the rectangle are equal to each other. Try playing around with different length and width dimensions such that the area is the same but you get different perimeters. Now we need to get the least perimeter for a given area. There are 400 one-foot long and one-foot-wide tiles, so no matter how they are arranged, the area is going to be 400 \(\times\) 1 \(\times\) 1 = 400 square feet. How long and wide should he make the exercise area in order to have the smallest perimeter possible?įirst, let us find the area of the space. He wants to use all of the tiles to create a rectangular exercise space. ![]() Hence, the second rectangle has a bigger perimeter than the first one.Įxample 4: James has 400 square foam tiles that are one-foot-long and one-foot-wide. The rectangle below has the same area, 15 m 2, but the perimeter will be different: Which rectangle has the greater perimeter? ![]() Make a new rectangle with the same area as the first. Hence, Alex should make the photo frame 2.5 feet long and 2.5 feet wide.Įxample 3: Find the perimeter and area of the given rectangle. You can see that the maximum area is obtained when the length and width are equal to each other. Try playing around with different length and width dimensions such that the perimeter is the same but you get different areas. Click on Open button to open and print to worksheet. Worksheets are Perimeter and area of rectangles work, Perimeter and area of rectangles work, Area and perimeter 3rd, Math made easy, Area perimeter work, S2 block 2, Grade 3 perimeter, Length perimeter and area. Now we need to get the maximum area for a given perimeter. Displaying all worksheets related to - Grade 3 Perimeter. How long and wide should the photo frame be to give it the most area? Hence, the second rectangle has a larger area than the first one.Įxample 2: Alex wants to create a rectangular photo frame that has a boundary length of 10 feet. The diagram below has the same perimeter, 14, but the area will be different: ![]() Perimeter of the rectangle = length width length widthĪrea of the rectangle = length (l) \(\times\) width (w) Make a different rectangle with the same perimeter as the first. This is where we start to learn how to infer in math. Example 1: Find the perimeter and area of the rectangle. This shows students how to find that measure when we only have a small amount of information.
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