Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle is 180 degrees.
90 + 2x - 2 + x + 5 = 180 degrees.
Combine like terms.
3x + 93 = 180
Subtract 93 from both sides.
3x = 87
Divide both sides by 3
x = 29
Answer:
Parallelograms I, II, and IV
Step-by-step:
Area of parallelograms:
I. A=3*5=15 units squared
II. A=5*3=15 units squared
III. A=4*4=16 units squared
IV. A=5*3=15 units squared
So, parallelograms I, II, and IV have the same area of 15 units squared.
Width of the reactangle = 38 cm
Minimum perimeter = 692 cm
Let the length of the rectangle be x cm
We know that,
Perimeter of rectangle = 2 * (length + width)
Since the perimeter should be atleast 692 cm. Therefore,
2 * (x + 38) > 692
2x + 76 > 692
2x > 692 - 76
2x > 616
x >
x > 308
Hence, the length of the rectangle should be more that 308 cms.
358 will be rounded to 360 and 292 will be rounded to 290 so 360-290 =70