Let a = the length.
(a + 3)(a + 10) = a(a + 7) + 54
a2 + 13a + 30 = a2 + 7a + 54
6a - 24 = 0
6a = 24
a = 4
The length is 4 in and the width is 11 in.
Kaela W.
asked 09/24/21A keyboard is 7in wider than it is long. If both dimensions are increased by 3in, the area increases by 54in2. What is the length and width of the keyboard? (Round to the nearest tenth as needed.)
Length:
inWidth:
Let a = the length.
(a + 3)(a + 10) = a(a + 7) + 54
a2 + 13a + 30 = a2 + 7a + 54
6a - 24 = 0
6a = 24
a = 4
The length is 4 in and the width is 11 in.
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