Answer:
w =4 ft and l =10 ft
Step-by-step explanation:
Let w = width
l = 2w+2
A = l*w
A = (2w+2)(w)
40 = (2w+2) w
Distribute
40 = 2w^2 +2w
Subtract 40
0 = 2w^2 +2w - 40
Dividing each side by 2
0 = w^2 +w -20
Factor
0 = (w+5) (w-4)
Using the zero product property
w+5 =0 w-4=0
w= -5 w=4
Since we cant have a negative length
w=4
l = 2w+2 = 2(4)+2 = 8+2 =10
We know that
scale factor=measure larger triangle/measure smaller triangle---->18/12
scale factor=1.5
so
measure larger triangle=scale factor*measure smaller triangle
for the leg in the smaller triangle equal to 5
measure larger triangle=1.5*5-----> 7.5
the answer is
7.5
A number in the tens place 84
Answer:
approximately 13.9 inches
Step-by-step explanation:
That's 8√6, not 8V7.
The four sides are of the same length (x). According to the Pythagorean Theorem, x² + x² = (diagonal length)² = (8√6)², or
2x² = 64(6) = 384
Dividing both sides by 2, we get:
x² = 192, or x² = 4(48). Then the side length is x = √16√12, or
x = 4√4√3 = 8√3. This is approximately 13.9 inches.