Answer: 3a+6a+6+6
Step-by-step explanation:
1. find the area of the two triangles, including the shaded section. the formula for this is a=1/2bh
the height and base are both 24 inches. this is because you add the 10 from the side of the square to the 14 that is given
so:
a=1/2(24)(24)
a=(12)(24)
a=288 sq. inches
since there are two triangles, you would multiply the area by 2
a=2(288)
a=576 sq. inches
now, since you only need the unshaded section, you have to take away the shaded section, which is a square. to do this, you must calculate the area of the square and take it away from the area of both triangles.
a=576-(lw)
a=576- (10)(10)
a=576-100
a=476 sq. inches
that is your answer
To find the value of x let's make the situation a bit easier
3x+10+70=180
3x+80=180
3x=180-80
3x=100
x = about 33.33
Answer:
7 inches
Step-by-step explanation:
The ratio of width to length of the known rectangle is 4 : 14 and this simplifies to 2 : 7.
The smaller similar rectangle will have the same ratio of 2 :7.
This can also be looked at another way. The second value in the ratio is 7/2 of the first value in the ratio and the first value is 2/7 of the second value.
Example:
7/2 * 2 = 7
Example:
2/7 * 7 = 2
So it's =1234 and then you put into 45 and add 78
