The equation of one side of a rectangle is $3 x - 4 y - 10 = 0$ and the coordinates of two of its vertices are $(- 2, 1)$ and $(2, 4)$ .Then, the area of the rectangle, in square units, is

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Infinity Learn · Accepted Answer

We observe that none of the vertices $$A($$−$$2$$,$$1)$$ and $$B(2$$,$$4)$$ $$)$$ lie on the side $$3x$$−$$4y$$−$$10=0$$. Therefore,Length of one side of the rectangle is $$AB=($$−$$2$$−$$2)2+(1$$−$$4)2=5Also$$, Length of the other $$side=$$ Length of the perpendicular drawn from $$A($$−$$2$$,$$1)$$ on                                                        $$3x$$−$$4y$$−$$10=0=$$−$$6$$−$$4$$−$$109+16=4$$∴       Area of the rectangle $$=$$  $$5$$ x $$4$$ $$=$$ $$20$$ sq. units

Equation of line in Straight lines

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The equation of one side of a rectangle is $3 x - 4 y - 10 = 0$ and the coordinates of two of its vertices are $(- 2, 1)$ and $(2, 4)$ .Then, the area of the rectangle, in square units, is

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Equation of line in Straight lines

Remember concepts with our Masterclasses.

The equation of one side of a rectangle is 3x−4y−10=0 and the coordinates of two of its vertices are (−2,1) and (2, 4).Then, the area of the rectangle, in square units, is

Ready to Test Your Skills?

free study material

The equation of one side of a rectangle is $3 x - 4 y - 10 = 0$ and the coordinates of two of its vertices are $(- 2, 1)$ and $(2, 4)$ .Then, the area of the rectangle, in square units, is