X - unit of length
w,l - the sides of a rectangle
7 : 2 ⇒ 7x : 2x
Perimeter: P = 207cm
Perimeter: P = 2w + 2l
therefore: 2w + 2l = 207 |divide both sides by 2
w + l = 103.5 (cm)
w : l = 7 : 2 ⇒ w : l = 7x : 2x ⇒ w = 7x; l = 2x
subtitute
7x + 2x = 103.5
9x = 103.5 |divide both sides by 9
x = 11.5 (cm)
7x = 7 · 11.5cm = 80.5cm
2x = 2 · 11.5cm = 23cm
w = 80.5cm; l = 23cm
Area = wl
Area: A = 80.5cm · 23cm = 1851.5cm²
Answer:
420m²
Step-by-step explanation:
Given that:
Length of diagonal = 42m
Lenght of outlying vertice = 10 m
Area of paralellogram = 2 " (area of triangle)
Area of triangle = 1/2 * base * height
Hence,
Area of parallelogram :
Area = 2(0.5 * 42 * 10)
Area = 2 (210)
Area = 420m²
Answer:
The interior angles are 80°, 30° and 70°.
Step-by-step explanation:
The sum of interior angle of a triangle is 180°. Two exterior angle of the triangle is given as 100° and 150°. The exterior angle of a triangle is equal to the sum of the opposite interior angle. The exterior angle is the angle between one side of a triangle .
Since angle on a straight line = 180°
Two interior angles can be calculated as follows
180 - 100 = 80°
180 - 150 = 30°
2 interior angles are known.
Note the sum of interior angle of a triangle is 180°
since 2 interior angle are known the third angle can be calculated as follows
180 - 80 - 30 = 70°
The interior angles are 80°, 30° and 70°.
Answer:
x = 18.5
∠1 = 76°
∠2 = 104°
∠3 = 76°
∠4 = 104°
∠5 = 76°
∠6 = 104°
Step-by-step explanation:
4x + 2 + 6x - 7 = 180
4x + 6x = 180 - 2 + 7
10x = 185
x = 185/10
x = 18.5
∠1 = 76°
∠2 = 104°
∠3 = 76°
∠4 = 104°
∠5 = 76°
∠6 = 104°
