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- The diagram shows two rectangles ABCD and PQRS. AB = (2x + 5) cm, AD = (x + 3) cm, PQ = (x + 4) cm and PS =X cm. (x+ 3) cm (20 5)cm (x+4)cm For one value of x, the area of rectangle ABCD is 59 cm2 more than the area of rectangle PQRS. Show that x² +7x- 44 = 0.Consider the quadratic x2 – 24x = 0. What number must be added to both sides of the equation in order to complete the square? A) 3 x 4 (B) 4 x 7 (C) 3 x 3 (D) 12 x 4The area of a rectangle is 8, and its diagonal √65. Find its dimensions and perimeter.
- 15. A carpenter needs to tile a rectangular floor whose width is (t -3) ft and length is (t2 + 3t +9) ft. How big is the floor that needs to be totally covered with the tiles? A. (t3 + 3t3 +9t) square feet B. (2t2 - 3t - 18) square feet C. (t3 - 27) square feet D. (t + 27) square feetFind the remainder when 4x3 – 5x + 1 is divided bya) x – 2b) x + 3c) 2x – 1 please assist with a to cA trapezoid has a height of (x + 2)cm and the length of two opposite parallel sides are (x + 4)cm and (x + 7)cm respectively. Write the area of the trapezoid in most simplified (a+b)k form. (HINT: Area of a trapezoid: A = 2