A yard has a square gate that has an area of 9 square meters.
(i) What is the height of the gate in meters?
(ii) How many feet would that be? (1 meter ≈ 3 feet)
(iii) If each side was 1 foot longer, what would be the area of the gate in square feet?
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Solution :-
Given that, yard has a square gate that has an area of 9 m².
Let side of gate is x m.
Than,
→ Area of gate = (side)²
→ x² = 9 m²
→ x² = (3)²
→ x = 3m.
we know that, each side of square are same.
Therefore,
(i) The height of the gate in meters = 3 meters. (Ans.)
(ii)
given that,
→ 1 meter = 3 feet .
So,
→ 3 meter = 3 * 3 = 9 feet .(Ans.)
(iii)
If each side was 1 foot longer, than,
→ Each side of square gate = 9 + 1 = 10 feet .
So,
→ New area of square gate = (10)² = 100 feet². (Ans.)
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