Your answer should be: a solution
A = 360 cm^2
Step-by-step explanation:
Using Pythagorean theorem, the length AB is given by
AB^2 = 17^2 - 8^2 = 225 cm^2
or
AB = 15 cm
Since the ratio BC: CD = 1:2 and BC = 8 cm, this means that CD = 2×(8 cm) = 16 cm
so the length BD is
BD = BC + CD = 8cm + 16 cm = 24 cm
There the area of the rectangle is
A = AB×BD
= 15cm×24cm
= 360 cm^2
Answer: H=12 and B=8
Looking at the problem, you are given the area, <em>a</em> , and told the h is 4 meters longer than <em>b; </em>in other words, <em>h</em>=<em>b</em>+4.
Since <em>a=</em>1/2<em>bh</em>, you can replace <em>a</em> with 48. Also, since <em>h</em> is <em>b</em>+4, you can replace that as well. You'd end up with this equation:
48=1/2b(b+4)
1. Seeing that 48 is 1/2 of <em>b,</em> you know that you have twice the value of 48, or 96. So, you can put that 96=<em>b(b+4). </em>
2.<em> </em>Now, thinking through factors of 96- 1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12, the only pair in which <em>h </em>is b+4 is 12 x 8.
Hope this helps,
Lacia :))
Answer:
A = arctan(BC/CA) = arctan(8/2) = 75.96 deg
Hope this helps!
:)
