Chapter 11.1, Problem 7PSA

a

To determine

To find : The area of a rectangle with given side and diagonal

Answer to Problem 7PSA

The area is $A=10$

Explanation of Solution

Given information : The following information has been given

The diagonal of rectangle $d=\sqrt{29}$

The base of the rectangle $b=2$

Formula used : The area of any rectangle will be

  $A=(lengt{h}_1)x(widt{h}_1)$

Calculation : we calculate the height of the rectangle from the half right triangle as

  $h=\sqrt{29-2^2}=5$

We know that the area of any rectangle will be

  $A=(base)(height)$

Hence, substituting the values from the given information, we get

  $A=(2)(5)=10$

Thus, we get

  $A=10$

b

To determine

To find : The semi perimeter of the rectangle with given side and diagonal

Answer to Problem 7PSA

The semi perimeter is $s=7$

Explanation of Solution

Given information : The following information has been given

The base of the rectangle $b=2$

The height of the rectangle $l=5$

Formula used : The semi perimeter of any rectangle will be

  $s=l+b$

Calculation : we calculate the semi perimeter of the rectangle from the sides as

  $s=l+b$

Hence, substituting the values from the given information, we get

  $s=2+5=7$

Thus, we get

  $s=7$