Rectangle x measures 7cm by (x+1) cm. Rectangle B has dimensions of (3x+6) cm and 4cm. The area of rectangle X is half the area of rectangle Y. Calculate the lengths of the sides of the rectangles, and hence, their areas.

Question

Mathematics

Griffin Lindsey

Today, 20:44

Rectangle x measures 7cm by (x+1) cm. Rectangle B has dimensions of (3x+6) cm and 4cm. The area of rectangle X is half the area of rectangle Y. Calculate the lengths of the sides of the rectangles, and hence, their areas.

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Shiloh · Answer 1

Lengthxwidth=area and rectangle Y/B is twice as big as X so

7 (x+1) = 1/2 (4) (3x+6)

7x+7=1/2 (12x+24)

x=5

Rectangle X=7 (5+1) = 42

Rectangle Y=4 (3*5+6) = 84

84 is twice as big as 42 : D