Determine graphically the coordinates of the …

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Sia ? 6 years, 6 months ago
First, we form a table for all three equations different value of x and y, As:
for, y = x
for, x + y = 6
for, y = 2x
Now we represent these points on the X-Y plane. As:
The area of the shaded region
{tex}= A ( \Delta A B C ) - A ( \Delta A D C ){/tex}
{tex}= \frac { 1 } { 2 } \times \text { height of } \Delta A B C \times A C + \frac { 1 } { 2 } \times \text { height of } \Delta A D C \times A C{/tex}
{tex}= \frac { 1 } { 2 } \times 4 \times 6 + \frac { 1 } { 2 } \times 3 \times 6{/tex}
= 21 cm2
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