Question

the perimeter of rectangular land is 22 meter and it's are is 28 m square 1 lf the length of the land is x meters express the measure of breadth of land in term of x​

Answer 1

To find the breadth of the land (width) in terms of the length (x), use the perimeter formula to express width as w = 11 - x. Check with the area formula to ensure consistency.

Step-by-step explanation:

To express the measure of the breadth of land in terms of x (the length) when given the perimeter and area of a rectangle, we can use two formulas: the formula for the perimeter of a rectangle, P = 2l + 2w (where l is the length and w is the width), and the formula for the area of a rectangle, A = l × w. Given that the perimeter is 22 meters and the area is 28 square meters, we set up two equations:

1) 22 = 2x + 2w

2) 28 = x × w

To find the width in terms of x, we first solve equation 1) for w:

2w = 22 - 2x

w = (22 - 2x) / 2

w = 11 - x

Then we substitute w into equation 2) to make sure it is consistent with the given area:

28 = x × (11 - x)

By expanding and simplifying, if it gives us a true statement, then our expression for w in terms of x is correct.