Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Answer:
Length = 13 units
width = 2 units
Explanations:
The formula for calculating the area of a rectangle is given as:
[tex]A=lw[/tex]where:
l is the length of the rectangle
w is the width of the rectangle
If the width of a rectangle is 11 units less than the length, then;
[tex]w=l-11[/tex]Substitute the expression for the width and the area into the formula for calculating the area.
[tex]\begin{gathered} 26=l(l-11) \\ 26=l^2-11l \\ l^2-11l-26=0 \end{gathered}[/tex]Factorize the resulting quadratic expression
[tex]\begin{gathered} l^2-13l+2l-26=0 \\ l(l-13)+2(l-13)=0 \\ (l+2)(l-13)=0 \end{gathered}[/tex]Find the length
[tex]\begin{gathered} l-13=0 \\ l=13units \end{gathered}[/tex]Recall that A = lw, hence;
[tex]\begin{gathered} w=\frac{A}{l} \\ w=\frac{26}{13} \\ w=2units \end{gathered}[/tex]Hence the dimensions of the rectangle is 13 units by 2 units
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
