To find the height of the larger rectangle, we first need to determine the area of each individual rectangle within the composite figure. Let's denote the height of the larger rectangle as h, and the height of the smaller rectangle as x.
The larger rectangle has a width of h and the smaller rectangle has a width of h - x. The total area of the composite figure can be expressed as the sum of the areas of the two rectangles:
Area_larger_rectangle + Area_smaller_rectangle = 52 square meters
h * (h - x) + (h - x) * x = 52
Expanding the equation:
h^2 - hx + hx - x^2 = 52
Simplifying:
h^2 - x^2 = 52
(h + x) * (h - x) = 52
Since we know the area of the composite figure is 52 square meters, we have now found a relationship between h and x. Unfortunately, we cannot determine the exact value of h without additional information.
the area of the composite figure is 52 square meters, what is the value of meters of the height of the larger rectangle?
1 answer
1 answer