The diagram shows a rectangle $ABCD$ with a square $PBQR$ of side $x$ cm removed. It is given

Question

The diagram shows a rectangle $ABCD$ with a square $PBQR$ of side $x$ cm removed. It is given that $AP=3$ cm and $QC=4$ cm. Find, in terms of $x$, an expression for the area of the rectangle $RQCS$. Find, in terms of $x$, an expression for the area of the rectangle $APSD$. The area of the rectangle $APSD$ is twice the area of the rectangle $RQCS$. Form an equation in $x$ and solve it. Hence find the area of the rectangle $APSD$.

Accepted Answer

(a) $4x\text{ cm}^2$ (b) $3(x+4)\text{ cm}^2$ (c) $x=2.4\text{ cm}$ (d) $19.2\text{ cm}^2$

Algebraic Areas in Composite Rectangles

Algebraic Areas in Composite Rectangles

Video Solution:

Solution:

Solution locked