Complete Question
The area of grandiose rectangular painting is 56 in.² the width of the painting is 7 inches what is the diagonal of the painting
Answer:
The diagonal of the rectangular painting is [tex]z = 10.63 \ m[/tex]
Step-by-step explanation:
The diagram for this question is shown on the first uploaded image
From the question we are told that
The area is [tex]A = 56 \ in^2[/tex]
The width of the painting is [tex]w = 7 \ in[/tex]
Generally the area of the rectangle is mathematically represented as
[tex]A = l * w[/tex]
where [tex]l[/tex] the length which is mathematically evaluated as
[tex]l = \frac{A}{w}[/tex]
substituting value
[tex]l = \frac{56}{7}[/tex]
[tex]l = 8 \ in[/tex]
According Pythagoras theorem
[tex]z ^ 2 = l^2 +w^2[/tex]
Where z is the diagonal of the rectangular painting
Now substituting values
[tex]z = \sqrt{7^2 + 8^2}[/tex]
[tex]z = 10.63 \ m[/tex]
