A rectangle has an area of 99 square yards. The width is 2 more than 1 times the length. Find the length and width, in
yards, of the triangle.

Width = 11 yards

Length = 9 yards

Step-by-step explanation:

Area = length * width      length = x      width = w

Area = 99

width = x + 2

length = x

99 = (x) (x+2)

99 = x^2 + 2x

x = 9, or -11

Since we are talking about length we know x can't be -11, so we can rule that answer out.

We now know x = 9, so the length is 9 yards, now we only need to plug in 9 as x in the width equation.

w = 9 + 2

w = 11

The width is 11 yards and the length is 9 yards.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8