Se tiene un rectángulo cuya base mide el doble que su altura y su área es 12
centímetros cuadrados. Calcular el perímetro del rectángulo y su diagonal.

Part 1) The perimeter is  

Part 2) The diagonal is

Step-by-step explanation:

The question in English is

You have a rectangle whose base is twice the height and its area is 12

square centimeters. Calculate the perimeter of the rectangle and its diagonal

step 1

Find the dimensions of rectangle

we know that

The area of rectangle is equal to

so

----> equation A

The base is twice the height

so

----> equation B

substitute equation B in equation A

Find the value of b

step 2

Find the perimeter of rectangle

The perimeter is given by

substitute

step 3

Find the diagonal of rectangle

Applying the Pythagorean Theorem

substitute

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

step-by-step explanation:

because it just is