Question

Find the altitude of the rhombus whose area is 420 cm sq. And perimeter is 140 cm

Answer 1

Hey mate.

Here's your answer


As you know all sides of a rhombus are equal.

4 X Side = Perimeter of Rhombus
4 X Side = 140.
Side = 140/4
Side = 35 cm


Hence, base = 35 cm


As you know area of rhombus is b x h


b x h = Area of rhombus
35 X h = 420
h = 420/35
h = 12 cm


Hope this helps you


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Answer 2

As rhombus is also a parallelogram its area is
b × h
$side \: of \: rhombus = 140 \div 4 = 35$
$35 \times h = 420 \\ h = 420 \div 35 = 12$
therefore height of the rhombus is 12cm