Carlatapales0390idn
Answered

IDNStudy.com, ang iyong mapagkukunan ng mabilis at eksaktong mga sagot. Sumali sa aming interactive na platform ng tanong at sagot para sa mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

a rectangle has a base that is ten meters longer than its height. the area of rectangle is 24 square meters. what are the dimensions of the rectangle​

Sagot :

Rosebarbaronajustinidn

Answer:

Base = 12 meters

Height = 2 meters

Step-by-step explanation:

Area of a rectangle = base (height)

Area = 24 square meters

Base = Height + 10

24 = H + 10 (H)

24 = H^2 + 10H

H^2 + 10H - 24 = 0  ---> Factor

(H + 12)(H - 2) = 0 ---> Apply zero property

H + 12 = 0, H = -12

H - 2 = 0, H = 2

We'll take H = 2, since measurements/dimensions aren't supposed to be negative.

So if the height = 2 meters, then

Base = Height + 10

Base = 2 + 10

Base = 12 meters

Therefore, the dimensions of a rectangle with an area of 24 square meters are: Base = 12 meters, Height = 2 meters.