Advertisements
Advertisements
Question
The scale of a map is 1 : 50000. The area of a city is 40 sq km which is to be represented on the map. Find: The area of land represented on the map.
Solution
Scale factor = 1 : 50000
area of land represented on the map:
40 Sq km
= 40 x (100 x 1000)2[as 1 km = 100000cm]
= 40 x 1010
`("Area"("map"))/("Area"("land")` = Scale
`("Area"("map"))/(40 xx 10^10) = (1)/(50000)^2`
Area(map)
= `(40 xx 10^10)/(50000)^2`
= `(4000)/(25)`
Area(map) = 160cm2 .
APPEARS IN
RELATED QUESTIONS
In triangle ABC, AD is perpendicular to side BC and AD2 = BD × DC. Show that angle BAC = 90°.
In the given figure, DE║BC. If DE = 3cm, BC = 6cm and ar(ΔADE) = `15cm^2`, find the area of ΔABC.
A model of a ship is made to a scale 1 : 300.
- The length of the model of the ship is 2 m. Calculate the length of the ship.
- The area of the deck of the ship is 180,000 m2. Calculate the area of the deck of the model.
- The volume of the model is 6.5 m3. Calculate the volume of the ship.
D and E are points on the sides AB and AC respectively of a Δ ABC such that DE | | BC and divides Δ ABC into two parts, equal in area. Find `"BD"/"AB"`.
In the given figure, AB and DE are perpendicular to BC.
- Prove that ΔABC ∼ ΔDEC
- If AB = 6 cm, DE = 4 cm and AC = 15 cm. Calculate CD.
- Find the ratio of the area of a ΔABC : area of ΔDEC.
In the given figure ABC and CEF are two triangles where BA is parallel to CE and AF: AC = 5: 8.
(i) Prove that ΔADF ∼ ΔCEF
(ii) Find AD if CE = 6 cm
(iii) If DF is parallel to BC find area of ΔADF: area of ΔABC.
Find the scale factor in each of the following and state the type of size transformation:
Image length = 8cm, Actual length = 20cm.
The scale of a map is 1 : 50000. The area of a city is 40 sq km which is to be represented on the map. Find: The length of a scale in km represented by 1cm on the map.
Two similar triangles will always have ________ angles
ABCD is a parallelogram. Point P divides AB in the ratio 2:3 and point Q divides DC in the ratio 4:1. Prove that OC is half of OA.
