Question

The perimeter of one square is 748 cm and that of another square is 336 cm. Find the perimeter of a square which is equal in area of the sum of the two​

Answer 1

☞ Answer :

Perimeter of the required square = 820 cm.

☞ Given :

• Perimeter of square (1) = 748 cm.
• Perimeter of square (2) = 336 cm.

☞ To Find :

Perimeter of the required square (3).

☛ How To Find :

We know,

Side of square = Perimeter/4

∴ Side of square (1) = 748/4 = 187 cm.

∴ Area of square (1) = (side)² = (187)² =

34969 cm²

$\rule{200}{3}$

Side of square (2) = 336/4 = 84 cm.

∴ Area of another square = (84)² = 7056 cm²

Now, sum of areas of squares = 34969 + 7056

= 42025 cm²

Again, area of square(3) = sum of areas of squares (1) & (2)

= 42025 cm²

∴ Side of third square = $\rm{\sqrt{42025}}$ = 205 cm

∴Perimeter of square (3) = 4 × side of square (3)

= 4 × 205 = 820 cm

∴ Perimeter of the required square = 820 cm.

Answer 2

Step-by-step explanation:

lets take two squares,

A and B,

let A =748cm

and B=336cm

according to the formula,

side of a square = perimeter/4

thus ,

1. side of square A =748cm/4=187cm

2.side of the square B=336cm/4=84cm

as we know ,

Area of a square = side ×side

then,

1.area of square A=187cm×187cm=34969sq.cm

2.Area of square B=84cm×84cm=7056sq.cm

Sum of the area of the square =Area of square A +Area of square B

- sum of the area of the square=34969sq.cm+7056sq.cm

sum of areas of the square =42025sq.cm

thus ,

let the new square formed by adding the area be C

Area of square C=42025sq.cm

Side of a square= root of its Area

Side of square C=root of 42025 Sq.cm

205cm

as 205cm ×205 cm =42025sq.cm

thus ,

side of square C=205 cm

now,

Perimeter of a square = 4×side

Perimeter of Square C=4×205 cm

=820cm

:. Perimeter of the square is 820 cm...

I HOPE IT HELPS U......

TQ.......