There is a rectangle A whose ratio between length and width is 3 : 5.
The length of this rectangle A is lengthened by 6cm and the width is shortened by 4 cm to be a rectangle B.
The ratio between length and width of the rectangle B became 9 : 8.
Find the vertical length rectangle A.
Moreover, find an area ratio of rectangle A and B with the least integer.
Answer
12 cm,
5 : 6
Solution
(③ + 6) : (⑤ - 4) = 9 : 8.
Thus (⑤ - 4) × 9 = (③ + 6) × 8.
① = 84/21 = 4.
The length is 4 × 3 = 12cm and the width is 4 × 5 = 20cm.
12 × 20 : (12 + 6) × (20 - 4) = 240 : 288 = 5 : 6.
The length of this rectangle A is lengthened by 6cm and the width is shortened by 4 cm to be a rectangle B.
The ratio between length and width of the rectangle B became 9 : 8.
Find the vertical length rectangle A.
Moreover, find an area ratio of rectangle A and B with the least integer.
Answer
12 cm,
5 : 6
Solution
(③ + 6) : (⑤ - 4) = 9 : 8.
Thus (⑤ - 4) × 9 = (③ + 6) × 8.
① = 84/21 = 4.
The length is 4 × 3 = 12cm and the width is 4 × 5 = 20cm.
12 × 20 : (12 + 6) × (20 - 4) = 240 : 288 = 5 : 6.
