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In City R, streets run either east-west or north-south, as shown on
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02 Dec 2022, 15:09
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61% (02:09) correctIn City R, streets run either east-west or north-south, as shown on the map above. Blocks along east-west streets are 400 feet long and blocks along north-south streets are 200 feet long. If the width of the streets is ignored, what is the straight-line distance, in feet, from X to Y ?
(A) \(200 \sqrt{5}\)
(B) 1,000
(C) 1,200
(D) \(400 \sqrt{10}\)
(E) 1,600
Attachment:
2022-12-03_02-08-57.png [ 9.23 KiB | Viewed 1781 times ]
Re: In City R, streets run either east-west or north-south, as shown on
[#permalink]
03 Dec 2022, 16:38
if you say blocks are 400 feet long, wouldn't it be misleading to think that all the blocks are 400 feet long ? that's what i thought first..
Re: In City R, streets run either east-west or north-south, as shown on
[#permalink]
03 Dec 2022, 16:53
if you picture it the right way, it's a right triangle with angles 30° 60° 90°, lengths are xsqroot3 , x and 2x rspectively. west-east blocks are 400 per block and north south blocks are 200 per block.
the block distance between the two points is 2 blocks to the east and 3 to the north.
2 x 400 = 800
3 x 200 = 600
it is very easy to mistake north for south if you get tricked by the grid because it's not drawn to scale.
the smaller side of the triangle (600) is equal to x, and the hypotenuse is in front of the 90° angle so it is equal to 2x, which is 1200, answer is C.
Correct me if I'm wrong please.
the block distance between the two points is 2 blocks to the east and 3 to the north.
2 x 400 = 800
3 x 200 = 600
it is very easy to mistake north for south if you get tricked by the grid because it's not drawn to scale.
the smaller side of the triangle (600) is equal to x, and the hypotenuse is in front of the 90° angle so it is equal to 2x, which is 1200, answer is C.
Correct me if I'm wrong please.