1
2
3
4
5
6
Question 1 of 6
hard
Two similar triangles have areas 50cm^2 and 98cm^2. Find the ratio of their perimeters.
Explanation: Area ratio=98/50=49/25. Scale factor k=7/5. Perimeter ratio equals scale factor = 5:7 (smaller:larger).
Question 2 of 6
hard
Triangle ABC ~ Triangle DEF. AB=8cm, BC=10cm, AC=12cm, DE=12cm. Find EF.
Explanation: Scale factor k = DE/AB = 12/8 = 1.5. EF corresponds to BC, so EF = 10 x 1.5 = 15 cm.
Question 3 of 6
hard
A rectangular garden 20m x 15m is drawn on a plan with scale 1:200. Find the area on the plan in cm^2.
Explanation: Real area=300m^2=3,000,000cm^2. Area ratio=(1/200)^2=1/40,000. Plan area=3,000,000/40,000=75 cm^2.
Question 4 of 6
hard
Two similar parallelograms have side ratio 3:4. The smaller has area 54cm^2. Find the larger area.
Explanation: Area ratio = 9:16. Larger area = 54 x (16/9) = 96 cm^2.
Question 5 of 6
hard
A flagpole casts a 6m shadow. At the same time, a 1.5m stick casts a 2m shadow. Find the flagpole height.
Explanation: Similar triangles: h/1.5 = 6/2 => h/1.5 = 3 => h = 4.5 m
Question 6 of 6
hard
A square of side 6cm is enlarged by scale factor 2.5. How many complete small squares (6cm x 6cm) fit in the large square?
Explanation: Area small=36cm^2. Large side=6x2.5=15cm, area=225cm^2. Area ratio=225/36=6.25. So 6 complete small squares fit.
← Previous
Next →
Submit Test
Vidaara uses essential cookies to run the site and, with your consent, optional cookies to understand how learners use Vidaara so we can improve it. We never sell your data. Read our Cookie Policy and Privacy Policy .
Essential only
Accept all