A wire when bent in the form of a square encloses an area of $484 m^{2}$ . Find the largest area enclosed by the same wire when bent to form a rectangle of breath $16 m$ .

448

sq. m

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

224

sq. m

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

174

sq. m

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

348

sq. m

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

Open in App

Solution

The correct option is A $448$ sq. m
Given: A wire when bent in the form of a square encloses an area $= 484 c m^{2}$
We know Area of square $= {(side)}^{2}$
${(side)}^{2} = 484$
$side = 22 c m$
And
We know perimeter of square $= 4 \times side = 4 \times 22 = 88 c m$
And now same wire when bent to form a rectangle whose breadth is $16 c m .$
So, Let length of formed rectangle $= x$
And we know perimeter of rectangle $= 2 (Length + Breadth)$ , so we get
$\Rightarrow 2 (x + 16) = 88$
$\Rightarrow x + 16 = 44$
$\Rightarrow x = 44 - 16$
$\Rightarrow x = 28$
So length of formed rectangle $= 28 c m$
Given Breadth of Rectangle $= 16 c m$
And Area of Rectangle $= 28 \times 16 = 448 c m^{2}$

Suggest Corrections

Similar questions

Q. A wire when bent in the form of a square encloses an area of

484 m^{2}

. Find the largest area enclosed by the same wire when bent to form a rectangle of breadth

16

A wire when bent in the form of a square encloses an area of $484 m^{2}$ . The area enclosed by the same wire when bent to form a rectangle of breadth $16 m$ is = _____ $m^{2}$ .

Q. A wire when bent in the form of a square encloses an area of 484

m^{2}

. Find the largest area enclosed by the same wire when bent to form:
(i) an equilateral triangle.
(ii) a rectangle of breadth 16 m.

Q. A wire when bent in the form of a square encloses an area of

484 m^{2}

. Find the largest area enclosed by the same wire when bent to form an equilateral triangle.

Q. A wire when bent in the form of a square encloses an area = 576

m^{2}

. Find the largest area enclosed by the same wire when bent to form :

(i) an equilateral triangle.

(ii) a rectangle whose adjacent sides differ by 4 cm.

Join BYJU'S Learning Program

A wire when bent in the form of a square encloses an area of 484m2. Find the largest area enclosed by the same wire when bent to form a rectangle of breath 16 m.

A wire when bent in the form of a square encloses an area of $484 m^{2}$ . Find the largest area enclosed by the same wire when bent to form a rectangle of breath $16 m$ .