Answer:
135ft²
Step-by-step explanation:
Width = w
Length = w + 6
Perimeter = 48
Perimeter = 2(l + w)
Perimeter = 2(w + 6 + w) = 48
2(2w + 6) = 48
4w + 12 = 48
4w = 48 - 12
4w = 36
w = 36/4
width = 9
length = w + 6 = 9 + 6 = 15
Area = length × width
= 15 × 9
= 135 ft²
Answer:
-2 and 4
Step-by-step explanation:
Let's set the larger number to x, and the smaller to y. With these, we can set up our equations.
x = 2y + 8
x + y = 3x - 10
Now, we put the value of x into the second equation.
2y + 8 + y = 3(2y + 8) - 10
Now we can solve for y
3y + 8 = 6y + 24 - 10
3y + 8 = 6y + 14
8 = 3y + 14
-6 = 3y
-2 = y
Now that we have the smaller number, we can put it into the first equation and solve for the larger.
x = 2*-2 + 8
x = -4 + 8
x = 4
So your two numbers are -2 and 4.
Step-by-step explanation:
the area is
length × width
increasing the length by 30% means multiplying the original length by 1.3.
increasing the width by 10% means multiplying the original width by 1.1.
so, the new area is (by using the old length and width)
length × 1.3 × width × 1.1 = length × width × 1.3×1.1 =
= old area × 1.3 × 1.1 = old area × 1.43
so, the area increases by 43%.
