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Answer:
Dimensions of the rectangle:
Length = 60 m
Breadth = 20 m
Step-by-step explanation:
Let length = l m, breadth = b m, Area = l × b m²
✏ Case I :
When l = l + 5, b = b - 4, Area = lb - 160
⇝ (l + 5)(b - 4) = lb - 160 (l × b = Area)
⇝ lb -4l + 5b -20 = lb - 160
⇝ -4l + 5b = -140
⇝ 4l - 5b = 140 → (1)
✏ Case II :
When l = l - 10, b = b + 2, Area = lb - 100
⇝ (l - 10)(b + 2) = lb - 100 (l × b = Area)
⇝ lb - 2l - 10b -20 = lb - 100
⇝ 2l - 10b = -80 → (2)
Now, (2) × 2 ⇒
4l - 20b = -160 → (3)
Again, (3) - (1) ⇒
⇝ - 15b = - 300
⇝ b = 20 m
Substituting the value of b in (1) ⇒
⇝ 4l - 5 × 20 = 140
⇝ 4l = 240
⇝ l = 240/4 = 60 m
∴ length of rectangle = 60 m and breadth = 20 m.
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sorry but now I am busy. ☺
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