41)

The perimeter of a rectangle is 86 cm. The numbers representing its area and breadth are in the ratio of 9 ∶ 1, respectively. The breadth of the rectangle is:

SSC CHSL 2021

A)

36 cm

B)

32 cm

C)

34 cm

D)

30 cm

42)

The area of the largest triangle that can be inscribed in a semi-circle of radius 6 cm is:

SSC CHSL 2021

A)

36 cm²

B)

35 cm²

C)

38 cm²

D)

34 cm²

43)

In Δ ABC, D and E are points on AB and BC, respectively, such that DE is parallel to AC. If DE = 3 cm, AC = 5 cm and the area of trapezium ACED = 32 cm², then what will be the area of Δ BDE?

SSC CHSL 2021

A)

18 cm²

B)

\(\frac{48}{5}\) cm²

C)

16 cm²

D)

\(\frac{144}{17}\) cm²

44)

A rectangle with perimeter 50 cm has its sides in the ratio 1 ∶ 4. What is the perimeter of a square whose area is the same as that of the rectangle?

SSC CHSL 2021

A)

36 cm

B)

50 cm

C)

40 cm

D)

45 cm