Question

Wilma is planning a rectangular garden in which the width will be 12 feet less than its length.She has decided to put a birdbath within the garden,occupying a space 8 feet by 4 feet.How many square feet are now left for planning?Express the answer in factored form.

Answer 1

$\underline{\pink{ Dimensions \:of \: a \: rectangular \:garden :}}$

$Let \: Length (L) = x \:feet$

$Breadth (B) = (x - 12) \:feet$

$\underline{\pink{ Dimensions \:of \: a \: birdbath :}}$

$length (l) = 8 \:feet ,$

$Breadth (b) = 4\:feet$

$Required \:Area = L\times B - l \times b$

$= x(x-12) - 8 \times 4$

$= x^{2} - 12x - 32$

Therefore.,

$\red{ Required \:area }\green { = x^{2} - 12x - 32 }$

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