If ABCD is a square and E is the midpoint of BC, then find the ratio of area of $△$ ABE to that of ABCD.

1/3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1/4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1/2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1/7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
1/4

Let AB = x

BE= $\frac{1}{2}$

Area of square ABCD = x $^{2}$

Area of $Δ$ ABE = $\frac{x^{2}}{4}$

Ratio = $\frac{1}{4}$

Suggest Corrections

Similar questions

Q. ABCD is a square. E and F are the midpoints of AB and CD respectively. AF and DE intersects at point P. EC and FB intersect at Q. Find the ratio of area of EQFP to that of ABCD?

Q. ABCD is a trapezium in which AB is parallel to DC, AD = BC, AB = 6 cm, AB = EF and DF = EC. If the area of ABEF is half of ABCD, then find DF/CD.

Given a square ABCD such that line joining C and the midpoint of AD i.e. F meets line joining AB at E when extended. Find the ratio of area of $Δ$ DFC to that of $Δ$ EBC.

Q. ABCD is a parallelogram, E and F are the midpoints of AB and CD respectively then the ratio of areas of AEFD and EBCF is ______ .

In ABC ,Given that DE//BC , D is the midpoint of AB and E is a midpoint of AC. The ratio AE : EC is ____.

Join BYJU'S Learning Program

If ABCD is a square and E is the midpoint of BC, then find the ratio of area of △ ABE to that of ABCD.

The correct option is B 1/4 Let AB = x BE= 12 Area of square ABCD = x2 Area of ΔABE = x24 Ratio = 14

If ABCD is a square and E is the midpoint of BC, then find the ratio of area of $△$ ABE to that of ABCD.

The correct option is B
1/4

Let AB = x

BE= $\frac{1}{2}$

Area of square ABCD = x $^{2}$

Area of $Δ$ ABE = $\frac{x^{2}}{4}$

Ratio = $\frac{1}{4}$