Math, asked by mstavasanthm, 12 hours ago

Construct a quadrilateral PLAY , PL = 7cm, LA = 6cm, AY = 6cm, PA = 8cm, PY = 7cm and find its area​

Answers

Answered by vrao94291
1

Answer:

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Answered by anitayadav3613729
0

Answer:

Answer is in the attachment ⤴️⤴️

Only finding area is given ⤵️⤵️

Area of quadrilateral= Area of PLA+Area of PAY.

Area of PLA

Using Heron's Formula.

S= a+b+c/2 [ a= 8cm,b= 7cm,c= 6cm where s= semi-perimeter]

S= 8+7+6/2

S= 21/2

S= 10.5

S= s(s-a)(s-b)(s-c)

S= 10.5(10.5-8)(10.5-7)(10.5-6)

S= 10.5×2.5×3.5×4.5

S= 105/10×25/10×35/10×45/10

S= 105×25×35×45/10000

S= (3×7×5)×(5×5)×(5×7)×(5×3×3)/100

S= 3×7×5×5×5×3

S= 52515/100. [We know 15=3.872]

S= 525×3.872/100

S= 2032.8/100

S= 20.328

So, area of PLA= 20.328cm².

Area of PAY= ½×Base×Height

Area of ∆PAY=½×6×7

Area of ∆PAY= 3×7

Area of ∆PAY=21cm²

Area of quadrilateral= Area of PLA+Area of ∆PAY.

Area of quadrilateral= 20.328+21

Area of quadrilateral= 41.328

Step-by-step explanation:

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