Mensuration Practice Test 2

Question : 23 of 40

Marks: +1, -0

The length of a rectangular blackboard is 15 cm more than that of its breadth. If its length is increased by 9 cm and its breadth is decreased by 6 cm, its area remains unchanged. Find the length and breadth of the rectangular blackboard.

L = 63 cm, B = 48 cm
L = 70 cm, B = 50 cm
L = 75 cm, B = 60 cm
L = 58 cm, B = 49 cm

Validate

Solution:

Length of the rectangular blackboard =

{(x+z)y}/{y-z}

x = 15, y = 9, z = 6
=

{(15+6)9}/{9-6}

= 63 cm
Breadth of the rectangular blackboard
=

{(x+y)z}/{y-z}

{(15+9)6}/{9-6}

= 48 cm

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