\( \left\{ \begin{array} { l } { \hat { a } = 4 x + 22 ^ { \circ } } \\ { \hat { r } = 4 x - 2 ^ { \circ } } \end{array} \right. \)

Homework 1. find the crea of a rectangler with langth 6 cm and breadth \( \frac{12}{2} \mathrm{~cm} \)

In this exercise, lines m and n are parallel. Find the measure of each numbered angle.

506 Un trapezio isoscele \( A B C D \) ha gli angoli adiacenti alla base maggiore \( A B \) di \( 45^{\circ} \). La somma della base mag- giore e del doppio della minore è 21 cm , mentre la som- ma della base minore e dell'altezza è 8 cm . Determina l'area del trapezio. [ \( \left.24 \mathrm{~cm}^{2}\right] \)

The shorter leg of a right triangle is 9 m shorter than the longer leg. The hypotenuse is 9 m longer than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: Length of the longer leg: Length of the hypotenuse: \( \square \mathrm{m} \)

ai The sides of a big triangle measure 100 m each. The sides of a small triangic measure 10 m less than the sides of the big triangle. fipd the perimeter of the big triangle. (ii) Find the perimeter of the smail trian is the ditference between the two perimeters?