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Answer:
(a) Area = 900 cm²
Length = 90 cm
(b) Area = 1125 cm²
Perimeter = 135 cm
(c) Breadth = 45 cm
Perimeter = 210 cm
Step-by-step explanation:
(a) Breadth = 10 cm
Perimeter = 200 cm
Length = x
Perimeter of rectangle = 2(l+b)
2(10+x) = 200
10+x = 200/2
10+x = 100
x = 100 - 10
x = 90
Check ⇒
2(90+10) = 200
2 × 100 = 200
200 = 2000
L.H.S = R.H.S
Hence, the answer is correct.
Area = l×b
length = 90 cm
breadth = 10 cm
Area = 90 × 10
= 900 cm²
(b) Length = 37.5 cm
Breadth = 30 cm
Perimeter = 2(l+b)
2(37.5 + 30) = 2 × 67.5
= 135 cm
Area = l×b
Length = 37.5 cm
Breadth = 30 cm
Area = 37.5 × 30
= 1125 cm²
(c) Length = 60 cm
Breadth = x
Area = 2700 cm²
Area = l×b
60x = 2700
x = 2700/60
x = 45
Check ⇒
Area = l×b
Length = 60 cm
Breadth = 45 cm
Area = 2700 cm²
60 × 45 = 2700
2700 = 2700
L.H.S = R.H.S
Hence, the answer is correct.
Perimeter = 2(l+b)
Length = 60 cm
Breadth = 45 cm
2(60 + 45) = 2 × 105
= 210 cm
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