Mination and School Inspection Authority) The area of a triangle is 299cm2. Its height is 23 cm. Find its base and choose the correct answer. (2 marks) A: 13 cm B: 26 cm C: 26 m D: 13 cm2 a) How many vertices does a cube have? (1 mark) b) How many edges are there in a cuboid? (1 mark) The perimeter of a square whose area is 576 m2 is: (2 marks) A: 24 m B: 48 m C: 96 m D: 144 m A rectangular field measuring 100 m by 50 m was drawn on a scale of 1:1000. The drawing area was: (2 marks) A: 50 cm2 B: 50 m2 C: 5 m2 D: 5 cm2
ScanSolve AI Answer
Answer
26 cm
Step-by-step solution
4 stepsStep 1: Write the formula for the area of a triangle.
Area = (1/2) × base × height
Step 2: Substitute the given values into the formula.
299 cm² = (1/2) × base × 23 cm
Step 3: Solve for the base.
299 cm² = (23/2) cm × base
base = (299 cm² × 2) / 23 cm
base = 598 cm² / 23 cm
base = 26 cm
The correct answer is B: 26 cm.
Part a
A cube has *8 vertices
Part b· 4 steps
A cuboid has *12 edges
Find the side length of the square using its area.
Area of a square = side²
576 m² = side²
side = √(576 m²)
side = 24 mCalculate the perimeter of the square.
Perimeter of a square = 4 × side
Perimeter = 4 × 24 m
Perimeter = 96 mThe correct answer is C: 96 m.
Convert the actual dimensions to centimeters and then apply the scale to find the drawing dimensions.
Actual length = 100 m = 100 × 100 cm = 10000 cm
Actual width = 50 m = 50 × 100 cm = 5000 cmDrawing length = Actual length / Scale factor = 10000 cm / 1000 = 10 cm
Drawing width = Actual width / Scale factor = 5000 cm / 1000 = 5 cmCalculate the area of the drawing.
Drawing area = Drawing length × Drawing width
Drawing area = 10 cm × 5 cm
Drawing area = 50 cm²The correct answer is A: 50 cm².
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