Math, asked by solapur1972, 1 year ago

Find the area bounded by the line x+y=10 and both the coordinate axes

Answers

Answered by laservictor2018
40
50 sq units is the answer

laservictor2018: x+y=10
laservictor2018: therefore x/10+y/10=1
laservictor2018: the line cuts coordinate axes at (0,10) & (10,0)
laservictor2018: there fore the 2 side lengths are 10 units
laservictor2018: and axes angle is 90°
laservictor2018: apply formula of area of ∆=1/2×b×h
laservictor2018: =1/2×10×10=5×10=50 sq units
laservictor2018: ok?
solapur1972: Thank you
laservictor2018: its ok
Answered by SerenaBochenek
6

Answer:

\text{Area of bounded region is }50 units^2

Step-by-step explanation:

Given the equation of line x+y=10

we have to find the area bounded by the line and both the coordinate axes.

we have to find the area of right angled triangle ABC

From the diagram seen in attachment

AC=10 units

BC=10 units

\text{Area of ABC=}\frac{1}{2}\times base\times height

=\frac{1}{2}\times BC\times AC

=\frac{1}{2}\times 10\times 10

=50 units^2

\text{Area of bounded region is }50 units^2

Attachments:
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