Answer:
I simply listed the factors of 24, and tested which ones worked in this equation: P = 2a + 2b.
So the factors listed were:
24 x 1
12 x 2
8 x 3
6 x 4
After testing each one of these, 6 and 4 had worked for me.
P = 2(6) + 2(4)
P = 12 + 8
P = 20
Therefore, the dimensions of this rectangle are 6 and 4.
Step-by-step explanation:
Answer:
x = 4/3
Step-by-step explanation:
Direct variation:
y = kx
We use the given x-y point to find k.
6 = k * 2/3
k = 6 * 3/2
k = 9
The equation is
y = 9x
For y = 12,
12 = 9x
x = 12/9
x = 4/3
Answer:
Missing side=25 units.
Area of the figure= 470 sq units.
Step-by-step explanation:
The figure is made up of a rectangle and a triangle.
To get the base of the triangle, we find the difference between the two parallel sides, that is, 16ft and 31 ft.
31ft-16ft=15ft
The height of the triangle is 20 since it is parallel and equal to the length of the rectangle.
We therefore use pythagoras theorem to find ?
a²+b²=c²
15²+20²=c²
625=c²
c=25
ii. The figure is a trapezium therefore we use the following formula to find the area.
A= 1/2(a+b)h, where a and b are the two parallel sides. and h the distance between them.
=(1/2)(31+16)×20
=470 sq units
Answer:
13.5
Step-by-step explanation:
answer 18-4-0.25
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