$A B C D$ is a square of perimeter $56$ m. Two triangular corners have been cut away as shown in figure. What is the perimeter of the remaining figure?

39

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

42

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

35

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

53

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

Open in App

Solution

The correct option is B $42$ m
Perimeter of square $= 56$ m
$\Rightarrow 4 \times$ side of square $= 56$ m
$\Rightarrow$ Side of square $= (56 + 4) = 14$ m
Now, $A E + E D = 14$ m
$\Rightarrow 7 m + E D = 14 \Rightarrow E D = 7 m$ and $E D = C G = 7 m$
$∴$ Perimeter of remaining figure $= E D + D C + C G + G F + F E$
$= (7 + 14 + 7 + 7 + 7) m = 42$ m.

Suggest Corrections

Similar questions

A piece of square land is having a perimeter of 20 m. A cow is standing in the middle of the square land as shown in the figure. What is the minimum distance that the cow has to travel in order to go out of the field and drink water?

What is the perimeter of the triangle ABC in the given figure ABCD? ( Take $\sqrt{2}$ = 1.4 )

Q. The perimeter of a triangular plot whose sides are

50

35

m and

75

m is ........... .

The perimeter of the square plot shown in the figure below is 20 m. A cow is standing in the middle of the plot as shown. What is the minimum distance the cow has to walk in order to go out of the plot and drink water?

Q. A square

A B C D

is constructed inside a triangle

P Q R

having sides

10, 17 a n d 21

as shown in figure. Find the perimeter of the square

A B C D

Join BYJU'S Learning Program

ABCD is a square of perimeter 56m. Two triangular corners have been cut away as shown in figure. What is the perimeter of the remaining figure?

The correct option is B 42mPerimeter of square=56m⇒4× side of square =56m⇒ Side of square =(56+4)=14mNow, AE+ED=14m⇒7m+ED=14⇒ED=7m and ED=CG=7m∴ Perimeter of remaining figure =ED+DC+CG+GF+FE=(7+14+7+7+7)m=42m.

$A B C D$ is a square of perimeter $56$ m. Two triangular corners have been cut away as shown in figure. What is the perimeter of the remaining figure?