the area of a rectangle is 460cm² if the length is 15 % more than the breadth what is the breadth of the rectangle
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Answer:
Let the length of the rectangle be b. So, the length of the rectangle will be,
l
=(1+
100
15
)b
=
20
23b
Now, area is equal to product of length and breadth so,
l×b
20
23b
×b
b
2
b
2
b
=460
=460
=
23
20
×460
=400
=20 cm
So, the breadth of the rectangle is equal to 20 cm.
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➶ GIVEN ➶
- Area of rectangle = 460 cm²
➶ SOLUTION➶
- Let breadth of rectangle is x
- Length = x + 0.15x = 1.15x
- Area = 460
- ⇛ Length × breadth = 460
- ⇛ (1.15x). x = 460
- ⇛ 1.15 x² = 460
- ⇛ x² = 460/1.15
- ⇛ x² = 400
- ⇛ x = 20 cm
- Now breadth = x = 20 cm
- Length = 1.15x = 1.15 ×20 = 23 cm
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