SSC (English Medium) Class 8Maharashtra State Board
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Look at the Measures Shown in the Adjacent Figure and Find the Area of ☐ Pqrs. - SSC (English Medium) Class 8 - Mathematics

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Question

Look at the measures shown in the adjacent figure and find the area of ☐ PQRS.

Solution

Join PR.
In triangle PSR,
Applying Pthygoras theorem,

PS²  + SR²  = PR² 

⇒ 36²  + 15²  = PR² 

⇒ PR²  = 1296 + 225 = 1521

⇒ PR = `sqrt[1521]` = 39 m

In triangle PQR,

s = `(56 + 25 + 39)/2 = 60`

Area =`sqrt[60 ( 60 - 56) (60 -25) (60 -39)]`

         = `sqrt[60 xx 4 xx 35 xx 21]`

        = `sqrt[176400]`

        = 420 m²

Area of triangle PSR = `1/2 xx 15 xx 36` = 270 m²
Area of PQRS = Area of triangle PSR + Area of triangle PQR
= 270 + 420
= 690 m2

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APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 15: Area
Practice Set 15.4 | Q: 2 | Page no. 101
Solution Look at the Measures Shown in the Adjacent Figure and Find the Area of ☐ Pqrs. Concept: Area of a Triangle by Heron’S Formula.
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