Math, asked by shadow1635, 1 year ago

if the length of the diagonal of a rectangle of length 16 cm is 20 CM then its area

Answers

Answered by pavamuruganpbcfes
26
Length l of rectangle = 16cm

Diagonal D of rectangle = 20cm

We have to find breadth of rectangle.

Let the breadth be b.

(diagonal)² = length² + breadth ²

(20)² = (16)² +(b)²

400=256+b²

b² = 400-256

b² = 144

b= √144

b= 12

Breadth b of rectangle = 12cm

Area of rectangle = length × breadth

= 16 × 12

= 192cm²
Hope this helps you friend
Thanks ✌️ ✌️

pavamuruganpbcfes: Thanks for marking brainliest
Answered by jovitha2005
5
length of the rectangle is 16cm
diagnol of the rectangle is 20cm

we have to find the breadth for finding the area.

according to Pythagoras theorem

20^2-16^2=breadth ^2
400-256= breadth^2
144 = breadth^2
12×12=144
breadth =12cm

area of a rectangle = lendth×breadth
=16×12
=192cm^2

hope it helps and please mark brainliest




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