Lee wants to cut this piece of canvas into two rectangles that are 3×2 and 3×5. He wants the sum of the areas of the two small rectangles to be the same as the area of the large rectangle. Can he do this? Explain
Yeah
The large rectangle has an area of (3x2)+(3x5)=6+15=21
Factors of 21
1, 3,7, 21
The large rectangle is 3x7
Lee want to cut this piece of canvas into two rectangles that are 3×2 and 3×5. He wants the sum of the area of the two small rectangles to be the same as the area of the large rectangle. 6 feet and 3 feet. Can he do this. Explain
Lee want to cut this piece of canvas into two rectangles that are 3×2 and 3×5. He wants the sum of the area of the two small rectangles to be the same as the area of the large rectangle. 6 feet across and 3 feet. Can he do this. Explain
To determine if Lee can cut the canvas into two rectangles with areas that sum up to the same as the area of the large rectangle, let's calculate the respective areas of the rectangles first.
The area of each small rectangle can be calculated using the formula: Area = Length × Width.
For the first small rectangle, the dimensions are 3 units by 2 units, so the area of the first rectangle is 3 × 2 = 6 square units.
For the second small rectangle, the dimensions are 3 units by 5 units, so the area of the second rectangle is 3 × 5 = 15 square units.
Now, let's find the area of the large rectangle. To do this, we can add the areas of the two small rectangles together.
Area of the large rectangle = Area of first small rectangle + Area of second small rectangle
= 6 + 15
= 21 square units.
Since the area of the large rectangle is 21 square units, Lee would need the sum of the areas of the two small rectangles to also equal 21 square units.
However, the sum of the areas of the two small rectangles (6 + 15) equals 21 square units, which means Lee can successfully cut the canvas into two rectangles of dimensions 3×2 and 3×5, satisfying his requirement.