Sonia makes a wooden frame around a square picture. The frame is made of 4 congruent trapezoids. The shorter base is 9 in., the
longer base is 12 in., and the height is 1.5 in. What is the area of the picture frame? PLEASE tell me why the answer is that answer.
1 answer:
To find the answer you will find the area of one trapezoid, and then multiply it by four because all 4 trapezoids are congruent. To find the area of one trapezoid you will use the formula A=(b1 + b2)h/2. The b's stand for the bases and h is the height. So, (12+9) x 1.5 first. This equals 31.5. Then take 31.5 and divide by 2 to get 15.75 square inches for one. 15.75x4=63 square inches. I have included A picture to show you why a trapezoid uses the formula it does.
You might be interested in
Answer:
Therefore they are 734.106 miles apart.
Step-by-step explanation:
Given that ,
Two ships have a harbor together. The angle between two ships is 135°40'. Each of two ships travel 402 miles.
It forms a isosceles triangle whose two sides are 402 miles and one angle is 135°40'. Since it is isosceles triangle then other two angles of the triangle is equal.
Let ∠B= 135°40', and AB = 402 miles , BC = 402 miles
Then the distance between the ships = AC
We know
The sum of all angles = 180°
⇒∠A+∠B+∠C=180°
⇒∠A+135°40'+∠C=180°
⇒2∠A= 180°- 135°40' [ since ∠A=∠C]
⇒2∠A=44°60'
⇒∠A= 22°30'
Again we know that,
Taking last two ratio,
Putting the value of BC , AC ,∠A,∠B
≈734.106 miles
Therefore they are 734.106 miles apart.
Answer and Step-by-step explanation:
Decreased by 20%