En un triángulo isósceles, el lado desigual mide 8 cm menos que cada uno de los lados iguales. Calcula los lados del triángulo sabiendo que el perímetro es 31 cm.

The given problem is "In an isosceles triangle, the uneven side is 8 cm shorter than each of the equal sides. Calculate the sides of the triangle knowing that the perimeter is 31 cm.

To find,

The sides of the triangle.

Solution,

Let each of equal sides are x.

The unequal sides is x-8.

Perimeter is the sum of all the sides. So,

31 = x+x+x-8

31+8=3x

3x = 39

x = 13

So, the equal sides are 13 cm.

Unequal side = x-8

= 13-8

= 5 cm

Hence, two of the equal sides are 13 cm and unequal side is 5 cm.

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.