The area of a parallelogram is 60 cm² and one of its altitudes is 5 cm. The length of its corresponding side is
(a) 12 cm
(b) 6 cm
(c) 4 cm
(d) 2 cm
Solution:
The diagram that summarizes the information in the problem is given below:
The area of the parallelogram = 60 cm²
Area of the given parallelogram = Area of △DCB + Area of △ADB
For a parallelogram
Area of △DCB = Area of △ADB
Hence
Area of △DCB = Area of △ADB = 30cm²
Area of △DCB = (1/2) × Base × Height
Area of △DCB = (1/2) × DC × 5 = 30
Therefore:
DC = 30 × 2/5 = 12 cm
Answer is choice (a)
✦ Try This: The area of a parallelogram is 75 cm² and one of its altitudes is 5 cm. The length of its corresponding side is (a) 12 cm, (b) 3 cm, (c) 7.5 cm, (d) 15 cm
The area of a parallelogram = Base × height
Height = 5 cm
Therefore,
Base × 5 = 75
Base = 75/5
Base = 15 cm
Hence the length of the corresponding side is 15 cm.
The answer is choice (d).
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 18
The area of a parallelogram is 60 cm² and one of its altitudes is 5 cm. The length of its corresponding side is (a) 12 cm (b) 6 cm (c) 4 cm (d) 2 cm
Summary:
The area of a parallelogram is 60 cm² and one of its altitudes is 5 cm. The length of its corresponding side is 12 cm
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