Agarden is in the shape of a rectangle and has a perimeter of 58 yards. the length of the garden is 5 more than twice the width. find the dimensions of the garden

P=2(L+W)
L is 5 more than 2W
L=5+2W
sub 5+2W for L

P=58
58=2(5+2W+W)
58=2(5+3W)
divide both sides by 2
29=5+3W
minus 5 both sides
24=3W
divide both sides by 3
8=W

sub back
L=5+2W
L=5+2(8)
L=5+16
L=21

the garden is 21yd by 8yd

Carla is on the right track because she is finding the slopes of consecutive sides to check for right angles.

Step-by-step explanation:

The slope of the line passing through the points and is

Find the slope of the line passing through the points C(2, 3) and D(1, 2):

Find the slope of the line passing through the points D(1,2) and E(4,1):

These slopes have the product

so angle D is not a right angle.

Carla is on the right track because she is finding the slopes of consecutive sides to check for right angles.