266 P6.AP.JC.22050403
Level 3
In the figure, ABC and ADE are right-angled isosceles triangles. BD = CE = 2 cm. The shaded area is 22 cm2. Find the length of AC.
2 m
Length Isosceles triangle Right-angled triangle Overlapping area
267 P5.AP.NK.23041223
Level 2
The figure is made up of three triangles, ABC, XYZ and DEF not drawn to scale. The area of triangle XYZ is six times the area of triangle ABC. The area of triangle ABC is 13 of triangle DEF. The area of triangle ABC is 12 cm2. What is the total area of the shaded parts?
2 m
Triangle Composite figure area Overlapping area Fraction to units Repeated identity Units method
268 P6.AP.TL.17090785
Level 3
Two identical right-angled triangles overlap each other as shown. Find the area of the shaded part.
2 m
Rectangle Right-angled triangle Overlapping area
269 P5.AN.JM.17083250
Level 2
ABCD and EFGC are different squares. Given that ∠EHC = 70°, find ∠ACE.
2 m
Right angle Square Angles sum of triangle Overlapping angles
270 P6.AP.TL.17090758
Level 2
X, Y and Z are centres of three identical circles. The length of XY is 7.2 m. XY, YZ and XZ are equal in length. Find the shaded area of the figure. (Take π = 3.14) Correct to 2 decimal places.
2 m
Triangle Circle Composite figure area Overlapping area D Place values D Round off

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