Question

The perimeter of two squares are 2 m and 2.8 m.Find the permeter of a square whose area is equal to the sum of areas of these two squares​

Answer 1

Answer:

• Perimeter of 3rd square = 3.44 m (Approx).

Step-by-step explanation:

Given:

• Perimeter of 1st square = 2 m
• Perimeter of 2nd square = 2.8 m

To find:

• Find the perimeter of a square whose area is equal to sum of areas of 1st and 2nd squares.

Now, firstly we will calculate side of 1st square,

⇒ Perimeter of 1st square = 4 × side

⇒ 2 = 4 × side

⇒ side = 2/4

⇒ side = 0.5 m

Now, we will calculate area of 1st square,

⇒ Area of 1st square = side²

⇒ Area of 1st square = (0.5)²

⇒ Area of 1st square = 0.25 m²

Now, we will calculate side of 2nd square,

⇒ Perimeter of 2nd square = 4 × side

⇒ 2.8 = 4 × side

⇒ side = 2.8/4

⇒ side = 0.7 m

Now, we will calculate area of 2nd square,

⇒ Area of 2nd square = side²

⇒ Area of 2nd square = (0.7)²

⇒ Area of 2nd square = 0.49 m²

Now, sum of both square's are = 0.25 + 0.49 = 0.74 m²

Now, it is given that 3rd square's area is equal to the sum of areas of 1st and 2nd square's area.

⇒ Area of 3rd square = 0.74

⇒ side² = 0.74

⇒ side = 0.86 m

Now, we will calculate perimeter of 3rd square,

⇒ Perimeter of 3rd square = 4 × side

⇒ Perimeter of 3rd square = 4 × 0.86

⇒ Perimeter of 3rd square = 3.44 m (Approx).

Hence, Perimeter of 3rd square = 3.44 m (Approx).

#answerwithquality

#BAL

Answer 2

Answer:

Perimeter of 3rd square= 3.44 m

(Approx).

Step-by-step explanation:

Given:

. Perimeter of 1st square = 2 m . Perimeter of 2nd square = 2.8 m

To find:

. Find the perimeter of a square whose area is equal to sum of areas of 1st and 2nd squares.

Now, firstly we will calculate side of 1st square,

Perimeter of 1st square= 4 x side

→ 2 = 4 x side

→ side = 2/4

→ side = 0.5 mNow, we will calculate area of 1st square,

→ Area of 1st square = side²

Area of 1st square= (0.5)²

→ Area of 1st square = 0.25 m²

Now, we will calculate side of 2nd square,

→ Perimeter of 2nd square = 4 x side

→ 2.8 = 4 x side

→ side = 2.8/4

→ side = 0.7 m

Now, we will calculate area of 2nd square,

→ Area of 2nd square = side²

→ Area of 2nd square = (0.7)²

→ Area of 2nd square = 0.49 m²

Now, sum of both square's are = 0.25 +0.49 =

0.74 m²Now, it is given that 3rd square's area is equal to the sum of areas of 1st and 2nd square's

area.

→ Area of 3rd square = 0.74

→ side² = 0.74

→ side = 0.86 m

Now, we will calculate perimeter of 3rd square,

Perimeter of 3rd square = 4 * side

Perimeter of 3rd square = 4 x 0.86

→ Perimeter of 3rd square= 3.44 m (Approx).

Hence, Perimeter of 3rd square= 3.44 m (Approx).