Answer:
Area = 84 in²
Step-by-step explanation:
In order to find the area of the rectangle, you need to first set up an equation to find the length based on the information already given in the problem. Since the perimeter = 40 and the formula to find perimeter of a rectangle is: P = 2W + 2L, where W = width and L=Length, we can solve for 'L' by putting in the values given:
P = 2W + 2L or 40 = 2W + 2(3W - 4)
The length of the rectangle is '4 less than 3 times the width'. This can be written as the expression '3W - 4'.
Distribute: 40 = 2W + 2(3W - 4) or 40 = 2W + 6W - 8
Combine like terms: 40 = 8W - 8
Add '8' to both sides: 40 + 8 = 8W - 8 + 8 or 48 = 8W
Divide both sides by '8': 48/8 = 8W/8 or 6 = W
Solve for L: 3W - 4 or 3(6) - 4 = 18 - 4 = 14
Since L=14 and W = 6, we can solve for Area using the formula: A = LxW or A = (14)(16) = 84in².
Ok so since the ratio is 7:5 that means you have an 8'' sandwich with 12 (7+5) separate units. imagine drawing the sandwich and dividing it into 12 sections.
so 8/12= .6666666 (thats the length of 1 unit)
now take .6666666 x 7 units = 4.6666666 inches '' (thats the bigger half)now take .6666666 x 5 units = 3.333333333 inches (thats the shorter half)
you'll notice that 4.66666666'' + 3.3333333" = 8''
Answer:
The area of the drawing is 12 Squares