![\qquad\qquad\huge\underline{{\sf Answer}}♨](https://tex.z-dn.net/?f=%5Cqquad%5Cqquad%5Chuge%5Cunderline%7B%7B%5Csf%20Answer%7D%7D%E2%99%A8)
Let's solve ~
Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~
Now, Perimeter of rectangle is :
![\qquad \sf \dashrightarrow \:2(l + w) = 56](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A2%28l%20%2B%20w%29%20%20%3D%2056)
![\qquad \sf \dashrightarrow \:2(3x + 8 + x) = 56](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A2%283x%20%2B%208%20%2B%20x%29%20%20%3D%2056)
![\qquad \sf \dashrightarrow \:2(4x + 8) = 56](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A2%284x%20%2B%208%29%20%20%3D%2056)
![\qquad \sf \dashrightarrow \:4x + 8 = 56 \div 2](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A4x%20%2B%208%20%20%3D%2056%20%5Cdiv%202)
![\qquad \sf \dashrightarrow \:4x + 8 = 28](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A4x%20%2B%208%20%20%3D%2028)
![\qquad \sf \dashrightarrow \:4x = 28 - 8](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A4x%20%20%3D%2028%20-%208)
![\qquad \sf \dashrightarrow \:x = 20\div 4](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ax%20%3D%2020%5Cdiv%204)
![\qquad \sf \dashrightarrow \:x =5 \: cm](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ax%20%3D5%20%5C%3A%20cm)
Hence, width = x = 5 cm
![\qquad \sf \dashrightarrow \:l = 3w + 8](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Al%20%3D%203w%20%2B%208)
![\qquad \sf \dashrightarrow \:l = 3(5)+ 8](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Al%20%3D%203%285%29%2B%208)
![\qquad \sf \dashrightarrow \:l = 15+ 8](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Al%20%3D%2015%2B%208)
![\qquad \sf \dashrightarrow \:l =23 \:cm](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Al%20%3D23%20%5C%3Acm)
And, length = 26 cm
Answer:
x = 63°
y = 27°
Step-by-step explanation:
RECT is a rectangle.
By the property of interior angles of a polygon,
All interior angles of a rectangle measure 90°
m(∠RTC) = 90°
m(∠RTC) = m(∠RTE) + m(∠CTE) [Angle addition postulate]
x° + 27° = 90°
x = (90 - 27)°
x = 63°
Since, opposite sides of a rectangle are parallel and equal in measure,
RE║TC and TE is a transversal line,
m∠RET = m∠CTE [Alternate interior angles]
y = 27°
Could I have a picture of the model which is shown?
I'd be able to figure this out if I could see the graph.