Question

The area of grandiose rectangular painting is 56 in.² the width of the painting is 7 inches what The area of grandiose rectangle or painting is 56 in.² the width of the painting is 7 inches label the rectangle to represent the paying

Answer 1

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
`z = 10.63 \ m`

Explanation:

The diagram for this question is shown on the first uploaded image

From the question we are told that

The area is
`A = 56 \ in^2`

The width of the painting is
`w = 7 \ in`

Generally the area of the rectangle is mathematically represented as

`A = l * w`

where
`l` the length which is mathematically evaluated as

`l = (A)/(w)`

substituting value

`l = (56)/(7)`

`l = 8 \ in`

According Pythagoras theorem

`z ^ 2 = l^2 +w^2`

Where z is the diagonal of the rectangular painting

Now substituting values

`z = √(7^2 + 8^2)`

`z = 10.63 \ m`