Answer:
2. 6(6+12+3) = 6(6)+6(12) + 6(3) = 36+72 + 18 = 126 unit square
Area = 126 unit square.
and satisfies the 3 rectangle area. However can such amounts fit inside the rectangle as distributable?
We prove length of 21 units =
21-6 = 15 Units length and 15 - 12 = 3. Proves all 3 measures of length does fit within the length of 21 units length
Conclusion Does satisfy as three length measures within one larger measure given for the large rectangle fit exact, to find area identical in totals.
Explanation:
Proof area of 21 x 6 area rectangle = 126unit square
3 smaller rectangles made from same larger rectangle must = 126 unit square when all 3 smaller area are added together.
answer choices
1. 21(3+3) = 2(3)+21(3) only shows 2 rectangles area = 2 rectangles angle
Does not satisfy
2. 6(6+12+3) = 6(6)+6(12) + 6(3) = 36+72 + 18 = 126 unit square and satisfies the 3 rectangle area. However can such amounts fit inside the rectangle as distributable?
We prove length of 21 units =
21-6 = 15 Units length and 15 - 12 = 3. Proves it does fit within the width of 21 units length
Conclusion Does satisfy as three length measures within one larger measure given for the large rectangle fit exact, to find area identical in totals.
3. 21 (3+2+3) = 21 (3) +21 (2)+21 (3) does not satisfy 6 units width as 3+2+3 = 8 and is too high a number. Does not satisfy.
4.6(10+10+11) = 6(10) + 6(10) + 6(11) does not satisfy
The lengths of the three rectangles adds to 31 length as 10+10+11 = 31 instead of 21. Does not satisfy.