In the given picture, it is shown that the triangles have two congruent sides, and one congruent angle between them. The congruent sides are shown by the lines on the sides. The congruent angle is shown by the box outlining the angle (technically a box outlining the angle demonstrates that the angle is a right angle, either way, it proves the congruency).

6 0

3 years ago

The rectangle below has an area of x^2-6x-7 square meters and a width of x-7 meters

Illusion [34]

Complete Question:

The rectangle below has an area of x^2-6x-7 square meters and a width of x-7 meters. What expression represents the length of the rectangle?

Answer:

<h3>The expression represents the length of the rectangle is (x + 1) meter</h3>

Solution:

Given that,

$\text{Area of rectangle} = x^2 - 6x - 7 \\\\Width = x - 7$

TO FIND: LENGTH = ?

We know that,

$Area\ of\ rectangle = length \times width \\\\Therefore\\\\x^2 - 6x - 7 = length \times x - 7\\\\length = \frac{x^2 - 6x - 7 }{x - 7 }\\\\length = \frac{(x-7)(x + 1)}{x - 7}\\\\\text{cancel out x-7 from numerator and denominator} \\\\length = x + 1$

Thus expression represents the length of the rectangle is (x + 1) meter

8 0

3 years ago