HURRY Sally makes a rectangular banner for the
upcoming baseball game. If its width is (3 -
feet and its length is (5+2) feet, which of these
correctly describes the perimeter and the area of
her banner?
(Note that she measures the perimeter in feet
and the area in feet2.)
The perimeter and the area of her banner are
both rational numbers.
The perimeter and the area of her banner are
both irrational numbers.
The perimeter of her banner is an irrational
number and the area is a rational number.
The perimeter of her banner is a rational number
and the area is an irrational number.
A

Given: abcd is a square. prove: ac ? bd. we are given that abcd is a square. if we consider triangle aeb and triangle aed, we see that side is congruent to side ad because sides of a square are congruent. we know that side ae is congruent to side ae by using the . finally, we know that side de is congruent to side because the diagonals of a square bisect each other. therefore, triangle aeb is congruent to triangle aed by congruency. we see that angle aed and angle aeb are a linear pair, and congruent by cpctc. thus, the measure of these angles will be 90°, and diagonal ac is perpendicular to diagonal bd by the .