SOLUTION: On a map, a square field has a perimeter of 8cm. The actual area of the field is 10,000m². What actual area does the 1cm of the map represent?

Question 1205080: On a map, a square field has a perimeter of 8cm. The actual area of the field is 10,000m². What actual area does the 1cm of the map represent?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the perimeter on the map is 8 cm.
that means each side of the square is equal to 8/4 = 2 cm on the map.

the area on the ground is 10,000 square cm.
that means that each side on the ground is equal to sqrt(10,000) = 100 cm.

since 2 cm on the map is equivalent to 100 cm on the ground, then the ratio of cm on the map to cm on the ground is 1:50.

one square cm on the map is equal to 1 * 1 = 1
the equivalent square cm on the ground is equal to 50 * 50 = 2500

RELATED QUESTIONS
On a map with a scale of 1cm:100m, if the area of a field is 180 m2 on the map, what is... (answered by Theo)

A square field has a perimeter of 240 meters. What is the area of the field? (answered by jim_thompson5910)

if the scale of a map is 1:25000000, find the area on the map which would represent an... (answered by swincher4391)

the scale of a detailed map is 1:2000. find the actual area, in square metres, for each... (answered by rfer)

the area of square field is 5184 m. square. a rectangular field , whose length is twice... (answered by doukungfoo)

Map of Oxfordshire has a scale of 1:25000. If the distance from Islip to Beckley is 18 cm (answered by solver91311)

A map is drawn to a scale of 1 : 25000 (a) The distance between two towns on the map is... (answered by Theo)

the scale of a detailed map is 1:2000. find the actual area, in square meters for 1 cm... (answered by ikleyn)

a square field has an area of 479 ft^2 what is the approximate length of the field (answered by richwmiller)