In the rectangle ABCD, O is any point inside the rectangle. If area( ΔAOD) = 30 $c m^{2}$ and area( ΔBOC) = 60 $c m^{2}$ , area of the rectangle ABCD is ___ $c m^{2}$ .

Open in App

Solution

Draw a line through O parallel to ADas shown.

Parallelogram APQD and triangle AOD are on same base AD and between same parallels.

So, Area of parallelogram APQD = 2 x Area of AOD

Area of APQD = $60 c m^{2}$

Parallelogram PBCQ and triangle BOC are on same base BC and between same parallels.

So, Area parallelogram PBCQ = 2 x Area BOC

Area of PBCQ = $120 c m^{2}$

Area of ABCD = $Area (A P Q D) + Area (P B C Q) = 180 c m^{2}$

Suggest Corrections

Similar questions

In the rectangle ABCD, O is any point inside the rectangle. If area( ΔAOD) = 30 $c m^{2}$ and area( ΔBOC) = 60 $c m^{2}$ , area of the rectangle ABCD is

___

(in $c m^{2}$ )

In the rectangle ABCD, O is any point inside the rectangle. If area (ΔAOD) = 30 $c m^{2}$ and area (ΔBOC) = 60 $c m^{2}$ , find the area of the rectangle ABCD.

In the rectangle ABCD, O is any point inside the rectangle. If area( $△$ AOD) = 30 $c m^{2}$ and area( $△$ BOC) = 60 $c m^{2}$ , Find the area of the rectangle ABCD. [2 MARKS]

Q. ABCD is a rectangle with O as any point in its interior. If

a r (Δ A O D) = 3 c m^{2}

and

a r (Δ B O C) = 6 c m^{2},

then find area of rectangle ABCD.

In the rectangle ABCD, O is any point inside the rectangle. If area( $△$ AOD) = 30 $c m^{2}$ and area( $△$ BOC) = 60 $c m^{2}$ , Find the area of the rectangle ABCD. [2 MARKS]

Join BYJU'S Learning Program

In the rectangle ABCD, O is any point inside the rectangle. If area( ΔAOD) = 30 cm2 and area( ΔBOC) = 60 cm2, area of the rectangle ABCD is ___ cm2.

In the rectangle ABCD, O is any point inside the rectangle. If area( ΔAOD) = 30 $c m^{2}$ and area( ΔBOC) = 60 $c m^{2}$ , area of the rectangle ABCD is ___ $c m^{2}$ .