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In Mathematics / High School | 2014-10-28

The length of a rectangle is 12 cm more than the width. The perimeter is 44 cm.

Find the length and the width.

Find the area of the rectangle in cm².

Asked by Rinchan

Answer (3)

The formula for the perimeter of a rectangle is 2(l+w) The formula for the area of a rectangle is lw First you need to solve for w and l w+12=l 2(l+w)=44 2[(w+12)+w]=44 (since you know w+12=l, you can plug that into the l value of the second equation. Now you only have 1 variable to solve for, w, instead of 2) 2(2w+12)=44 (I combined like terms inside the parentheses) 4w+24=44 (I distributed 2 to everything inside the parentheses) 4w=20 (I subtracted 24 from both sides) w=5 (divide both sides by 4) Now that we know what w is, we can plug that into the first equation to solve for l 5+12=l l=17 Now we solve for area 17x5=237.16 A=237.16 cm^2

Answered by GTLUVSU | 2024-06-10

To find the dimensions of the rectangle, we can set up equations based on the given information. The width is 5cm and the length is 17cm . The area of the **rectangle **is 85 cm^2. ;

Answered by aishwaryav188se | 2024-06-18

The width of the rectangle is 5 cm and the length is 17 cm. The area of the rectangle is 85 cm².
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Answered by aishwaryav188se | 2024-12-17