You have the polygon MNOPQR which can be expressed as two rectangles pasted one next to each other.
To see the two rectangles in the picture, you can draw a line parallel to segment MR througn point N.
From the original picture you can state the dimensions of both rectangles.
Call S, the point where the line that you drew intercepts the segment RQ.
Then one rectangle is MNSR and the other rectangle is OPQS.
The measures of the sides of the rectangle MNSR are:
- the length of MN = length of SR = base
- the length of MR = the length of NS.= height
So its area is base * height, which you can all A1.
The measured of the rectangle OPQS are:
- segment OP = segment SQ = segment QR - segment SR = base
- segment PQ = segment OS = height
So its area is base * height, which you can call A2.
Then the area of the polygon MNOPQRS is A1 + A2. One of them is 9 u^2 and the other is what the answer is asking for, and that you have calculated above.
With this procedure you can tell the value needed.
Answer: The dimensions of the frame:.
W= 2√10 or about 6.3245 inches
L= 4√10 or about 12.6491 inches
Step-by-step explanation:
This would be so much easier if the area of the box was 72. Then the dimensions of the frame would be 6 × 12. So just a little bit larger and more complicated.
Here the equation is w(2w)=80
2w^2 = 80 (2w is easier to work with than L/2).
w^2=40 (^2 means squared)
√w^2 = √40 square root of both sides: Factor 40. Take out√4
W = √4*10
W= 2√10
L= 2w = 4√10
6.3245 × 12.6491 = 80
Answer:
25
Step-by-step explanation:
Substitute 7 into 2, and 11 into y.
2(7)+(11)
14+11
25
( 2a + 3 ) - ( 4a - 8 ) = 7
2a + 3 - 4a + 8 = 7
-2a + 11 = 7
-2a = -4
a = -4 / -2
a = 2
Answer:
∠5
Step-by-step explanation:
Complementary angles are angles that:
- sum to 90°
- make a right angle
Given this information, angles 2, 3, and 4 are already right angles. That leaves angle 5 and angle 1 to be complementary with each other, as they form a right angle.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
~ ren
