Answer:
Perimeter of rectangle before folded = 56 in
Total area after folding = 156 sq in
Step-by-step explanation:
Rectangle before folded: l = 16 and w = 12
P = 2(16) + 2(12) = 32 + 24 = 56 in.
Figure after folding: Area of trapezoid + area of rectangle
Area of trapezoid = h(
)/2 = 6(4 + 16)/2 = 60
Area of rectangle = lw = 16(6) = 96
Total area after folding = 60 + 96 = 156 sq in.
Note: You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle. Your choice. OK?
Answer:
Step-by-step explanation:
From the given table,
To prepare a mixture of a paint, two paints of different shades have been added in the same ratio,
Since, 2 cups of blue paint are mixed with 10 cups of yellow paint
Therefore, ratio in which these shades have been added = 
= 
= 
= 5 : 1
For 1 cup of blue paint number of cups of yellow paint required,

x = 5 cups
For 3 cup of blue paint number of cups of yellow paint required,

x = 15 cups
Cups of blue paint Cups of yellow paint
2 10
1 5
3 15
6/14 = 7/x
so
x = 7 * 14 / 6
x = 98/6
x = 16.3
answer
D. x = 16.3
Answer:
Step-by-step explanation:
3(x+2) -10 = 4x + 6 +x
3x +6 -10 = 5x+6
-10 = 2x
x = -5
One solution