A school has two rectangular playgrounds, which are similar in shape. If the length and the breadth of the first playground are given as 224 m and 160 m, respectively, then which of the following options CANNOT be the dimensions of the second playground?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i .e. Length = 343 m; Breadth = 255 m.
Given that, length of first playground = 224 m
Breadth of first playground = 160 m
The two playgrounds are similar.
For two similar rectangles, the ratio of the length and breadth of both rectangles is equal.
According to the given question,
Ratio of length and breadth of first playground = 224 : 160
⇒ 7 : 5
1. Length = 168 m; Breadth = 120 m
Ratio of length and breadth = 168 : 120
⇒ 7 : 5 (correct)
2. Length = 273 m; Breadth = 195 m
Ratio of length and breadth = 273 : 195
⇒ 7 : 5 (correct)
3. Length = 210 m; Breadth = 150 m
Ratio of length and breadth = 210 : 150
⇒ 7 : 5 (correct)
4. Length = 343 m; Breadth = 255 m
Ratio of length and breadth = 343 : 150 (incorrect)
Hence the required answer is Length = 343 m; Breadth = 255 m.