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One of the adjacent sides of a rectangular courtyard is 5m and its diagonal measures 13 m long. What is the area of the courtyard?
- a)60m²
- b)40m²
- c)50m²
- d)30m²
- e)None of the Above
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
One of the adjacent sides of a rectangular courtyard is 5m and its dia...
Another side = √[(13)² – (5)²] = 12m
Area = 12 * 5 = 60m²
Area = 12 * 5 = 60m²
Most Upvoted Answer
One of the adjacent sides of a rectangular courtyard is 5m and its dia...
ABCD is a rectangle and here AB=CD and BC=AC ....==>Let AB and BC be 2 adjacent sides and it's diagonal will be BD....=>here AB=5m and BD=13m and by Pythagoras theorem we get AD=12m=>Area=lxb=5×12=>60m^2
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Community Answer
One of the adjacent sides of a rectangular courtyard is 5m and its dia...
Given Data:
- One side of the rectangular courtyard = 5m
- Diagonal of the rectangular courtyard = 13m
Calculating the Other Side of the Rectangle:
- Let the other side of the rectangle be 'x' meters.
- Using Pythagoras theorem, we can find the value of 'x':
x² + 5² = 13²
x² + 25 = 169
x² = 144
x = 12
Calculating the Area of the Courtyard:
- Area of a rectangle = Length x Width
- Area = 5m x 12m
- Area = 60m²
Therefore, the area of the courtyard is 60m², which corresponds to option 'A'.
- One side of the rectangular courtyard = 5m
- Diagonal of the rectangular courtyard = 13m
Calculating the Other Side of the Rectangle:
- Let the other side of the rectangle be 'x' meters.
- Using Pythagoras theorem, we can find the value of 'x':
x² + 5² = 13²
x² + 25 = 169
x² = 144
x = 12
Calculating the Area of the Courtyard:
- Area of a rectangle = Length x Width
- Area = 5m x 12m
- Area = 60m²
Therefore, the area of the courtyard is 60m², which corresponds to option 'A'.
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