Mensuration Practice Test 9

Question : 36 of 40

Marks: +1, -0

The length of a rectangular field is increased by 14 m, and the breadth is decreased by 6 m. The area of the field remains unchanged. If the length is decreased by 14 m and the breadth increased by 10 m find the length and breadth of a rectangular field.

L = 55 cm, B = 48 cm
L = 70 cm, B = 40 cm
L = 56 cm, B = 30 cm
L = 58 cm, B = 39 cm

Validate

Solution:

Length of the rectangular field =

ac({d+b}/{ad-bc})

a = 14, b = 6, c = 14, d = 10
= 14 × 14

({10+6}/{14×10-6×4})

= 196 ×

{16}/{56}

= 56 m
Breadth of the rectangular field
=

bd({a+c}/{ad-bc})

6×10

({14+14}/{14×10-6×14})

60×{28}/{56}

= 30 m

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