The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room
are in the ratio 4:3:2. The combined area of these three rooms is 189 square feet. What is the area of the playroom? BRAINLIEST WILL BE GIVEN JUST HAVE GOOD EXPLANATION
You will set up an equation by adding all three ratios together. This is because a ratio is multiples of the same number, “x”. So your equation will be (4x+3x+2x=) 9x=189. Divide each side by 9, x=21. Plug 21 into the ratio of the playroom, which is 3x=3(21)=63. 63 square feet is the answer.
When you see the equals sign with a squiggly line on top, you know that the items on each side of the equation are congruent. Next, name the corresponding sides. Corresponding sides are matching sides between two triangles. They will have the same length in congruent triangles