In the figure 11.14,St=5cm,QR=9cm.The area of the larger triangle is 50cm2. What is the area of shaded region?
Answers
The area of the shaded region is 27.5 cm².
Step-by-step explanation:
It is given that,
ST = 5 cm
QR = 9 cm
Area of ∆PQR = 50 cm²
Now, considering ∆SQR, we have
Base, QR = 9 cm
Height, ST = 5 cm
∴ Area of the ∆SQR is,
= ½ * base * height
= ½ * QR * ST
= ½ * 9 * 5
= 22.5 cm²
Thus,
The area of the given shaded region in the attached figure is given by,
= [Area of the larger ∆PQR] – [Area of the smaller ∆SQR]
= 50 cm² – 22.5 cm²
= 27.5 cm²
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Answer:
27.5 is the area of the shaded region.
Step-by-step explanation:
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