suevazpue
contestada

The figure shown consists of a 6 congruent squares. The area of the figure is 96 sq cm. What is the perimeter of the figure in cm?

The figure shown consists of a 6 congruent squares The area of the figure is 96 sq cm What is the perimeter of the figure in cm class=

Respuesta :

evgeniylevi

Try this solution:

1. if 6 squares are congruent squares, then the length of a side is a=sqrt(96/6)=4 cm.

2. Perimeter is P=2*(6*3)+6*2+2*(6*2)=72 cm.

nuhulawal20

Given the area of the figure which consist of 6 congruent squares, the perimeter of the figure is 96cm.

What is a square?

A square is simply a two dimensional figure with four sides and all the sides are of equal dimension.

The area of a square is expressed as;

A = a²

The perimeter of a square is expressed as;

P = 4a

Where a is the dimension of the side.

Given that;

  • Area of the figure A = 96cm²
  • The figure consist of 6 congruent squares.

First we determine the area of each square and then find the value of a

Since the square are of the same dimension, Area of each square will be;

Asquare = 96cm²/6 = 16cm²

Now, dimension of a will be;

16cm² = a²

a = √16cm²

a = 4cm

Next, we calculate the perimeter of each square.

Perimeter P = 4a

P = 4(4cm)

P = 16cm

Since there are 6 congruent squares in the figure, the perimeter of the figure will be;

P = 16cm × 6

P = 96cm

Given the area of the figure which consist of 6 congruent squares, the perimeter of the figure is 96cm.

Learn more about area and perimeter of square here: https://brainly.com/question/11495285

#SPJ2

Otras preguntas