The base of a rectangle is 13 centimeters longer than the height.If the perimiter is 58 centimeters find the base and the height

Question

3 years ago

14

of the rectangle

1 answer:

Yuri [45] · Answer 1 · 2022-11-05T02:56:20+03:00

Answer:

Base: 8cm. Height: 21cm

Step-by-step explanation:

We know that the base of a rectangle is 13 cm. longer than the height and the perimeter is 58 cm. Here is how we would set up the problem:

2x+2(x+13)= 2x + 2x + 26 = 4x + 26 = 58 (now we use the distributive property:

4x + 26 = 58

-26 -26

4x = 32

So, the base is 8 cm.

Now it's time to find the height.

So, we know the base (in total) is 16 cm. Now we do 58-16=42. Now we divide 42 divided by 2 = 21 cm.