Maharashtra BoardEnglish MediumSTD 7MathsMensuration3 Marks
Question
Find the area of a rectangular plot on side of which is 48m and its diagonal 50m.
✓
Answer
We know that all the angles of a rectangle are $90^{\circ}$ and the diagonal divides the rectangle into two right angled triangles.
So, one side of the triangle will be 48 m and the diagonal, which is 50 m , will be the hypotenuse.
According to Pythagoras theorem:
Perpendicular $=\sqrt{(\text { Hypotenuse })^2-(\text { Base })^2}$
Perpendicular $=\sqrt{(50)^2-(48)^2}$
$\therefore$ Other side of the rectangular plot $=14 m$
$\therefore$ Area of the rectangular plot $=48 m \times 14 m=672 m^2$
Hence, the area of a rectangular plot is $672 m^2$.
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